The document provides examples and explanations for solving problems involving linear equations with two variables through the method of substitution. It begins with short answer questions involving finding two numbers given their sum and difference. It then presents similar examples involving fractions or percentages. Longer answer questions are also provided involving multiple steps to find unknown values based on given relationships between quantities over time. The document aims to help students practice solving different types of linear equation word problems.

1. 1
ul0ft z[ªvnf – (
aLhul0ft
o'ukt /]vLo ;dLs/0f tyf ju{;dLs/0f
o; kf7af6 P;Pn;L k/LIffdf Pp6f 2 cªssf] / Pp6f 4 cªssf] k|Zg ;f]lwg] k|fjwfg /x]sf] 5 .
o'ukt /]vLo ;dLs/0f tyf ju{;dLs/0f kf7dWo] Pp6faf6 5f]6f] pQ/ cfpg] k|Zg ;f]w]df csf]{af6
nfdf] pQ/ cfpg] k|Zg ;f]Wg ;lsg]5 .
-!_ o'ukt /]vLo ;dLs/0f
-s_ 5f]6f] pQ/ cfpg] k|Zgx¿
pbfx/0f M 1
b'O{ ;ªVofx¿sf] of]u 35 / cGt/ 5 eP tL ;ªVofx¿ kQf nufpg'xf]; .
;dfwfg M dfgf}“ tL ;ªVofx¿ x / y x'g .
klxnf] ;t{cg';f/, .............. (1)
bf];|f] ;t{cg';f/, .................. (2) (1)
;dLs/0f (1) / (2) xn ug{, b'j} ;dLs/0fx¿ hf]8bf,
;dLs/0f (1) af6,
ctM tL ;ªVofx¿ 20 / 15 x'g . (1)
pbfx/0f : 2
Pp6f ;ªVof csf]{sf] bf]Aa/ 5 / ltgLx¿sf] of]u 90 eP tL ;ªVofx¿ kQf nufpg'xf]; .
;dfwfg M dfgf}“ Pp6f ;ªVof 5 . To;sf] bf]Aa/ x'G5 .
lbOPsf] ;t{cg';f/, (1)
or,
csf]{ ;ªVof (1)
ctM tL ;ªVofx¿ 30 / 60 x'g .

2. 2
pbfx/0f : 3
tLgcf]6f qmdfut lahf]/ ;ªVofx¿sf] Ps ltxfO 7 eP tL ;ªVofx¿ s'g s'g xf]nfg <
;dfwfg M dfgf}“ klxnf] lahf]/ ;ªVof = x eP
bf];|f] lahf]/ ;ªVof =
t];|f] lahf]/ ;ªVof =
k|Zgcg';f/, (1)
or,
or,
or,
ctM tL ;ªVofx¿ 5, 5+2=7 / 5+4=9 x'g . (1)
pbfx/0f 4 :
Pp6f ;ªVof / To;sf] cfwf hf]8bf 105 x'G5 eg] Tof] ;ªVof slt xf]nf <
;dfwfg M dfgf}“ Tof] ;ªVof = eP To;sf] cfwf = x'G5 .
k|Zgcg';f/, (1)
or,
or,
or,
ctM ;f] ;ªVof 70 xf] . (1)
cEof; M
1. b'O{ hgf bfh'efO;“u ePsf] /sdsf] of]u ?= 175 / cGt/ ?= 25 eP k|To]s;“u slt slt /sd
xf]nf < pQ/ M 100 / 75
2. ljho;“u ePsf] /sdsf] cfwf / lszf]/;“u ePsf] /sdsf] cfwf hf]8bf ?= 220 x'G5 . olb
ljho;“u ePsf] /sdsf] bf]Aa/ / lszf]/;“u ePsf]sf] cfwf 36fp“bf ?= 380 x'G5 eg]
k|To]s;“u ePsf] /sd kQf nufpg'xf]; . pQ/ M ?= 240, ?= 200
3. Pp6f ;ªVof csf]{sf] t]Aa/ 5 . tL ;ªVofx¿sf] of]u 108 eP tL ;ªVofx¿ kQf
nufpg'xf]; . pQ/ M 81 / 27

3. 3
4. Pp6f ;ªVof csf]{ ;ªVof eGbf bf]Aa/ 5 . olb tL ;ªVofx¿sf] km/ssf] cfwf 18.5 eP tL
;ªVofx¿ kQf nufpg'xf]; . pQ/ M 74 / 37
5. olb Pp6f ;ªVof csf]{ eGbf 6 n] a9L 5 / ltgLx¿sf] of]u 34 eP tL ;ªVofx¿ kQf
nufpg'xf]; . pQ/ M 20 / 14
6. /fdsf] pd]/ s[i0fsf] eGbf 5 jif{n] sd 5 . olb ltgLx¿sf] pd]/sf] of]u 55 eP pgLx¿sf]
pd]/ kQf nufpg'xf]; . pQ/ M 25 / 30
7. tLg cf]6f qmdfut ;ªVofx¿sf] of]u 57 eP tL ;ªVofx¿ kQf nufpg'xf]; . pQ/ M
18,19,20
8. tLgcf]6f qmdfut hf]/ ;ªVofx¿sf] of]usf] cfwf 87 eP tL ;ªVofx¿ kQf nufpg'xf]; .
pQ/ M 56, 58, 60
9. tLgcf]6f qmdfut lahf]/ ;ªVofx¿sf] of]usf] b'O{u'0ff 174 eP tL ;ªVofx¿ kQf
nufpg'xf]; . pQ/ M 27, 29, 31
10. s'g} ;ªVofsf] cfwf / pxL ;ªVofsf] Ps ltxfOsf] of]u 500 x'G5 eg] Tof] ;ªVof slt
xf]nf < pQ/ M 600
-v_ nfdf] pQ/ cfpg] k|Zgx¿ M
pbfx/0f M 1
Ps jif{kl5 cfdfsf] pd]/ 5f]/Lsf] pd]/sf] 5 u'0ff x'g]5 . b'O{ jif{ cl3 cfdfsf] pd]/ 5f]/Lsf] ca 4
jif{ kl5 x'g] pd]/sf] 3 u'0ff lyof] eg], pgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; .
;dfwfg M xfn cfdfsf] pd]/ jif{ / 5f]/Lsf] pd]/ jif{ dfGbf,
Ps jif{ kl5 cfdfsf] pd]/ 1 jif{n] a9g] ePsfn] jif{
Ps jif{ kl5 5f]/Lsf] pd]/ 1 jif{n] a9g] ePsfn] jif{
b'O{ jif{ cl3 cfdfsf] pd]/ 36g] ePsfn] jif{
5f]/Lsf] 4 jif{ kl5sf] pd]/ a9g] ePsfn] jif{ x'G5 .
klxnf] ;t{cg';f/, cfdf / 5f]/Lsf] pd]/ a/fa/ agfpg 5f]/Lsf] pd]/nfO{ 5 n] u'0ff ug'{kb{5 .
To;}n], (1)
jf
jf ……………………………
bf];|f] ;t{cg';f/, b'O{ jif{ cl3 cfdfsf] pd]/ 5f]/Lsf] 4 jif{ kl5sf] pd]/

4. 4
jf, (1)
jf,
jf ………………………………
b'j} ;dLs/0f / nfO{ xn ubf{,
………………….
………………….
36fp“bf,
jif{ (1)
;dLs/0f af6,
jf,
jf, (1)
xfn cfdfsf] pd]/ / 5f]/Lsf] pd]/ jif{ /x]5 .
oL pQ/x¿ ;dLs/0f (ii) df k|lt:yfkgf u/]/ hf“Rg ;lsG5 t/ k/LIffdf of] b]vfpg
cfjZos 5}g .
jf
pbfx/0f : 2
b'O{ cªsn] ag]sf] Pp6f ;ªVof To;sf cªsx¿sf] of]usf] 7 u'0ff 5 . olb Tof] ;ªVofaf6 27
36fof] eg] To;sf cªsx¿sf] :yfg ablnG5 eg] Tof] ;ªVof slt xf]nf <
;dfwfg M
dfgf}“, cfjZos ;ªVof x'g'k5{ h;df x b; / y Ps :yfgsf cªsx¿ x'g .
klxnf] ;t{cg';f/ b'O{ cªssf] ;ªVof = cªsx¿sf] of]usf] 7 u'0ff
jf, (1)
jf,
jf,
jf,
bf];|f] ;t{cg';f/, Tof] ;ªVof af6 27 36fp“bf cªsx¿ plN6G5g .

5. 5
jf, (1)
jf,
jf,
jf, …………………… (ii)
;dLs/0f (ii) af6 (i) 36fp“bf,
(1)
;dLs/0f (ii) df y sf] dfg k|lt:yfkg ubf{
jf,
cfjZos ;ªVof pQ/ . (1)
pbfx/0f : 3
xfn bfh' / efOsf] pd]/sf] km/s 7 jif{ 5 . xfnsf] bfh'sf] pd]/ hlt efOsf] pd]/ k'Ubf bfh' /
efOsf] pd]/sf] of]u 49 k'Ug] 5 eg] xfnsf] bfh' / efOsf] pd]/ slt slt /x]5 <
;dfwfg M
dfgf}“, xfnsf] bfh'sf] pd]/ = x / efOsf] pd]/ = y
klxnf] ;t{cg';f/, (1)
bf];|f] ;t{cg';f/, [ km/s pd]/ hf]8bf ]
(1)
; / xn ubf{
(1)
ca, sf] dfg ;= df /fVbf
cyjf,

6. 6
cyjf,
(1)
ctM xfnsf] bfh' / efOsf] pd]/ j|mdzM 21 / jif{ /x]5 .
pbfx/0f : 4
xfn afa' / 5f]/fsf] pd]/sf] cg'kft 12:5 5 . 6 jif{kl5 ltgLx¿sf] pd]/sf] cg'kft 27:13 x'G5 eg]
xfn pgLx¿sf] pd]/ kQf nufpg'xf]; .
;dfwfg M
dfgf}“ xfn afa'sf] pd]/ = jif{ /
5f]/fsf] pd]/ = y
k|Zgcg';f/, or, 5x = 12y (1)
or, .........................(1)
km]l/, (1)
or,
or, .................. (2)
b'j} ;dLs/0fnfO{ xn ubf{,
....................... (1)
..................... (2)
;dLs/0f (1) nfO{ 13 / (2) nfO{ 5 n] u'0ff ubf{,
36fp“bf,
(1)
km]l/ ;dLs/0f (1) af6,
or,
(1)
ctM afa'sf] xfnsf] pd]/ 48 jif{ / 5f]/fsf] pd]/ 20 jif{
– + –

7. 7
dflysf] pbfx/0fsf ;xfotfn] lgDglnlvt ;d:ofx¿ ;dfwfg ug'{xf]; M
1. olb 5f]/fsf] pd]/sf] 2 u'0ff afa'sf] pd]/df hf]l8lbof] eg] 70 jif{ x'G5 . olb afa'sf] pd]/sf] 2
u'0ff 5f]/fsf] pd]/df hf]l8lbP 95 jif{ x'G5 . clxn] pgLx¿sf] pd]/ slt slt jif{ xf]nf <
-pQ/ M 5f]/fsf] pd]/ = 15 jif{, afa'sf] pd]/ = 40 jif{_
2. 5 jif{cl3 Pp6f dflg;sf] pd]/ 5f]/Lsf] pd]/sf] 5 u'0ff lyof] . 3 jif{kl5 p;sf] pd]/sf] 2 u'0ff
5f]/Lsf] pd]/sf] 6 u'0ff;“u a/fa/ x'G5 . pgLx¿sf] xfnsf] pd]/ slt slt xf]nf <
-pQ/ M dflg;sf] pd]/ = 45 jif{, 5f]/Lsf] pd]/ = 13 jif{)
3. kf“rjif{ cl3 afa'sf] pd]/ 5f]/fsf] pd]/sf] 4 u'0ff lyof] . clxn] afa' / 5f]/fsf] pd]/ hf]8bf
45 jif{ 5 eg] afa' / 5f]/fsf] pd]/ kQf nufpg'xf]; . -pQ/ M 33 / 12_
4. b'O{ cªsn] ag]sf] Pp6f ;ªVof 5 . olb lbOPsf] ;ªVofdf To;sf] cªsx¿sf] :yfg abn]/
aGg] ;ªVof hf]8bf of]ukmn 143 x'G5 / lbOPsf] ;ªVof 36fp“bf z]if 9 x'G5 eg] Tof] ;ªVof
kQf nufpg'xf]; . [cfjZos ;ªVof = 76]
5. b'O{ cªssf] Pp6f ;ªVof 5 . Tof] ;ªVofsf] cªsx¿sf] of]u 13 x'G5 . To; ;ªVofdf 9
hf]8bf cªsx¿sf] :yfg ablnG5 eg] ;f] ;ªVof kQf nufpg'xf]; . -pQ/ M 67_
6. 5 ls=u|f= :ofp / 3 ls=u|f= cf“ksf] d"No ?=405 k5{ . olb 3 ls=u|f= :ofp / 4 ls=u|f= cf“ksf]
d"No ?=375 k5{ eg] k|lt ls=u|f= :ofp / cf“ksf] 5'66f 5'66} d"No lgsfNg'xf]; .
-pQ/ M:ofp ?= 45 / cf“ksf] ?= 60_
7. s'g} leGgsf] x/af6 1 36fp“bf x'G5 / c+zdf 7 hf]8of] eg] of]ukmn 1 x'G5 . Tof] leGg kQf
nufpg'xf]; . -pQ/ M _
8. xfnsf] afa' / 5f]/fsf] pd]/ km/s 25 jif{ / 5f]/f] xfnsf] afa'sf] pd]/df k'Ubf afa' / 5f]/fsf]
pd]/sf] of]u 95 jif{ k'Ug]5 eg] xfnsf] afa' / 5f]/fsf] pd]/ slt slt xf]nf <
-pQ/ M 35 / 10_
9. b'O{ cªsn] ag]sf] Pp6f ;ªVofsf] of]u 9 5 . olb pQm ;ªVofsf] 3 u'0ff ;f] ;ªVofsf] :yfg
abNbf aGg] ;ªVofsf] 8 u'0ff;“u a/fa/ x'G5 eg] ;f] ;ªVof slt xf]nf < -pQ/ M 72_
10. afa' / 5f]/fsf] xfnsf] pd]/sf] of]u 40 jif{ 5 . 4 jif{kl5 afa'sf] pd]/ 5f]/fsf] pd]/sf] 3 u'0ff
x'g]5 eg] ltgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; . -pQ/ M 32 / 8_
11. A ;“u ePsf] ?= dWo] ?= 1 B nfO{ lbof] eg] b'j};“u a/fa/ ?= x'G5g . olb B sf] ?= 1 A nfO{
lbof] eg] A ;“u B sf] eGbf bf]Aa/ ?= x'G5 eg] k|To]s;“u ;'?df slt ?= lyof] xf]nf <
-pQ/ M 7 / 5_
12. s'g} leGgsf] c+z x/eGbf 1 sd 5 . olb pQm leGgsf] c+zdf 1 / x/df 5 hf]8of] eg]
x'G5 . ;'?sf] leGg kQf nufpg'xf]; . -pQ/ M _

8. 8
13. clxn] afa'sf] pd]/ 5f]/fsf] pd]/sf] 3 u'0ff 5 . olb 10 jif{kl5sf] 5f]/fsf] pd]/ / 20 jif{
cl3sf] afa'sf] pd]/ a/fa/ eP afa' / 5f]/fsf] xfnsf] pd]/ kQf nufpg'xf]; .
-pQ/ M 45 / 15_
14. xl/ / p;sf] 5f]/fsf] pd]/sf] of]u 38 5 . 5 jif{cl3 xl/ p;sf] 5f]/fsf] pd]/sf] 13 u'0ff lyof]
eg] ltgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; . -pQ/ M 31 / 7_
15. afa' / 5f]/fsf] xfnsf] pd]/sf] cg'kft 2:1 5 . 4 jif{kl5 ltgLx¿sf] pd]/sf] cg'kft 15:8
x'g]5 eg] ltgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; . -pQ/ M 56 / 28_
-@_ ju{ ;dLs/0f
-s_ 5f]6f] pQ/ cfpg] k|Zgx¿ M
pbfx/0f : 1
Pp6f wgfTds ;ªVofsf] ju{sf] cfwfaf6 15 36fp“bf 17 af“sL /xG5 eg] ;f] ;ªVof kQf
nufpg'xf]; .
;dfwfg,
dfgf}“ ;f] wgfTds ;ªVof x xf] .
k|Zgcg';f/, (1)
or,
or,
(1)
ctM ;f] ;ªVof 8 xf] .
pbfx/0f : 2
s'g} ;ªVofsf] ju{df ToxL ;ªVof hf]8bf 42 x'G5 eg] ;f] ;ªVof kQf nufpg'xf]; .
;dfwfg,
dfgf}“ ;f] ;ªVof x xf] .
k|Zgcg';f/, (1)
or,
or,
or,
or,

9. 9
olb eP x'G5 .
cyjf eP x'G5 . (1)
pbfx/0f: 3
s'g} ;ªVof / To;sf] Ao'Qj|mdsf] of]u eP ;f] ;ªVof kQf nufpg'xf]; .
;dfwfg,
dfgf}“ ;f] ;ªVof eP Ao'Qj|md x'G5 .
k|Zgcg';f/, (1)
or,
or,
or,
or,
or,
or,
olb eP x'G5 .
cyjf, eP jf x'G5 . (1)
pbfx/0f : 4
s'g} ;ªVofsf] 6 u'0ff ;f] ;ªVofsf] ju{;“u a/fa/ eP Tof] ;ªVof kQf nufpg'xf]; .
;dfwfg,
dfgf}“ ;f] ;ªVof xf] .+
k|Zgcg';f/, + (1)
or,
or,
olb, eP x'G5 .
cyjf, x'G5 . (1)

10. 10
cEof;
1. Pp6f ;ªVofsf] ju{df 25 hf]8bf 250 x'G5 eg] ;f] ;ªVof kQf nufpg'xf]; . -pQ/ M 15_
2. s'g} ;ªVofsf] ju{af6 10 36fp“bf 39 af“sL /xG5 eg] ;f] ;ªVof slt xf]nf < -pQ/ M 7_
3. s'g} ;ªVofsf] ju{nfO{ 4 n] u'0ff u/L 6 36fp“bf 10 af“sL /xG5 eg] ;f] ;ªVof kQf
nufpg'xf]; . -pQ/ M 4_
4. s'g} ;ªVofsf] ju{df ;f]xL ;ªVofsf] bf]Aa/ hf]8bf 63 x'G5 eg] ;f] ;ªVof kQf
nufpg'xf]; . -pQ/ M 7_
5. Pp6f ;ªVofsf] ju{af6 ;f]xL ;ªVof 36fp“bf 20 x'G5 eg] ;f] ;ªVof kQf nufpg'xf]; .
-pQ/ M 5_
6. s'g} ;ªVof / To;sf] Jo'Qqmdsf] of]u x'G5 eg] ;f] ;ªVof slt xf]nf < -pQ/ M 8_
7. s'g} ;ªVof / To;sf] Jo'Qqmdsf] cGt/ ++ x'G5 eg] ;f] ;ªVof kQf nufpg'xf]; .
-pQ/ M 20_
8. Pp6f sf]7fsf] nDafO rf}8fO eGbf 2m nfdf] 5 . olb o;sf] If]qkmn 35m2
eP nDafO slt
xf]nf < -pQ/ M 7m_
9. olb b'O{cf]6f wgfTds qmdfut ;ªVofx¿sf] u'0fgkmn 72 eP tL ;ªVofx¿ s'g s'g xf]nfg <
-pQ/ M 8 / 9_
10. s'g} ;ªVofsf] bf]Aa/ / Tof] ;ªVofsf] ju{ a/fa/ eP Tof] ;ªVof s'g xf]nf < -pQ/ M 2_
-v_ nfdf] pQ/ cfpg] k|Zgx¿ M
pbfx/0f : 1
k|bLk / ;'bLksf] xfnsf] pd]/sf] cGt/ 6 jif{ / pgLx¿sf] pd]/sf] u'0fgkmn 216 x'G5 eg] tL b'O{sf]
xfnsf] pd]/ kQf nufpg'xf]; .
;dfwfg M xfnsf] k|bLksf] pd]/ = x / ;'bLksf] pd]/ = y dfgf}“ .
klxnf] ;t{cg';f/,
(1)
bf];|f] ;t{cg';f/,
; / af6

11. 11
cyjf, (1)
cyjf,
cyjf,
cyjf, (1)
olb, eP x'G5 .
ctM k|bLksf] pd]/ jif{,
ca, sf] dfg ;= df /fVbf
;'bLksf] pd]/ jif{ (1)
km]l/ M -pd]/ C0ffTds x'“b}g ._
ctM k|bLksf] xfnsf] pd]/ jif{, / ;'bLksf] pd]/ jif{ x'G5 .
pbfx/0f : 2
Pp6f cfoftsf/ sf]7fsf] kl/ldlt 44 ld6/ / If]qkmn 120 ju{ld6/ eP ;f] sf]7fsf] nDafO /
rf}8fO kQf nufpg'xf]; .
;dfwfg M dfgf}“, sf]7fsf] nDafO ld6/ / rf}8fO ld6/
klxnf] ;t{cg';f/, kl/ldlt x'gfn]
cyjf,
(1)
km]l/, bf];|f] ;t{cg';f/, [If]qkmn (A)= ℓb x'gfn]]
;dLs/0f (i) sf] dfg ;dLs/0f (ii) df /fVbf,
cyjf,
cyjf, C0ffTds lr≈g x6fp“bf]
cyjf,
cyjf,
cyjf, (1)

12. 12
cyjf, (1)
sf] dfg ; (i) df /fVbf
rf}8fOeGbf nDafO w]/} x'g] ePsfn] of] dfGo x'“b}g . (1)
km]l/,
x s dfg ; (i) df /fVbf,
(1)
;f] sf]7fsf] nDafO 12 ld6/ / rf}8fO 10 ld6/ /x]5 .
pbfx/0f : 3
6 jif{cl3 s[i0fsf] pd]/ p;sf] 5f]/fsf] pd]/sf] 6 u'0ff lyof] . xfn pgLx¿sf] pd]/sf] u'0fgkmn 396
5 eg] pgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; .
;dfwfg,
dfgf}“ s[i0fsf] pd]/ x / p;sf] 5f]/fsf] pd]/ y 5 .
k|Zgcg';f/, klxnf] ;t{af6,
or,
or, ................... (i) (1)
bf];|f] ;t{af6,
or, (x sf] dfg ;= i af6 k|lt:yfkg ubf{) (1)
` or,
or,
or,
or,

13. 13
or, (1)
olb eP x'G5 .
olb eP x'G5 . t/ of] dfGo x'“b}g .
km]l/, ;dLs/0f (i) af6,
ctM xfnsf] afa' / 5f]/fsf] pd]/ j|mdzM 36 / 11 x'G5 . (1)
dfly lbOPsf pbfx/0fsf] ;xfotf lnO{ lgDglnlvt ;d:ofx¿ ;dfwfg ug'{xf]; M
1. bfh' / efOsf] xfnsf] pd]/sf] of]ukmn 30 / u'0fgkmn 209 eP, tL b'O{ bfh'efOsf] jt{dfg
pd]/ kQf nufpg'xf]; . -pQ/ M bfh' = 19 jif{, efO = 11 jif{_
2. b'O{ cªssf] Pp6f ;ªVofnfO{ To;sf cªsx¿sf] of]ukmnn] efu ubf{ 6 x'G5, Tof] ;ªVofsf]
cªsx¿sf] u'0fgkmn 20 5 eg], Tof] ;ªVof kQf nufpg'xf]; . -pQ/ M 54_
3. 4 jif{ cl3 Pshgf dflg;sf] pd]/ p;sf] 5f]/fsf] pd]/ eGbf 13 u'0ff lyof] . xfnsf] afa' /
5f]/fsf] pd]/sf] u'0fgkmn 180 5 eg] ltgLx¿sf] xfnsf] pd]/ sltslt xf]nf <
-pQ/ M 30 jif{ / 6 jif{_
4. Pp6f ;dsf]0f lqe'hsf] s0f{ nDa eGbf 1 ;]=ld= / cfwf/ eGbf 18 ;]=ld= a9L 5 eg] ;f]
lqe'hsf] tLgcf]6} e'hfx¿sf] gfk kQf nufpg'xf]; . -pQ/ M 25 ;]=ld=, 24 ;]=ld= / 7 ;]=ld=_
5. cfdf / 5f]/Lsf] xfnsf] pd]/sf] u'0fgkmn 63 jif{ 5 . 5f]/L xfnsf] cfdfsf] pd]/ hlt k'Ubf,
cfdf / 5f]/Lsf] pd]/sf] of]ukmn 60 k'Ug]5 eg], xfnsf] cfdf / 5f]/Lsf] pd]/ kQf
nufpg'xf]; . -pQ/ M cfdf = 21 jif{, 5f]/L = 3 jif{_
6. Pp6f cfotfsf/ rp/sf] If]qkmn 391 ju{ld6/ / kl/ldlt 80 ld6/ eP nDafO / rf}8fOsf]
cGt/ kQf nufpg'xf]; . [Hint: ;"q k|of]u ug]{] -pQ/M6 ld6/_
7. b'O{ lbbLalxgLsf] pd]/ xfn qmdzM 18 / 16 5 . slt jif{kl5 pgLx¿sf] pd]/sf] u'0fgkmn
360 xf]nf < -pQ/ M 2 jif{_
8. xfn bfh'sf] pd]/ 45 / efOsf] pd]/ 40 jif{ 5 . slt jif{kl5 ltgLx¿sf] pd]/sf] u'0fgkmn
2250 xf]nf < -pQ/ M 5 jif{_
9. 8 jif{cl3 hd'gfsf] pd]/ pgsL 5f]/Lsf] pd]/sf] 20 u'0ff lyof] . xfn pgLx¿sf] pd]/sf]
u'0fgkmn 480 eP ltgLx¿sf] xfnsf] pd]/ kQf nufpg'xf]; . -pQ/ M 48 / 10_
10. 66 nfO{ ltgLx¿sf] u'0fgkmn 968 x'g] u/L af“8g'xf]; . -pQ/ M 22 / 44_