This document contains 5 word problems involving linear equations: 1) Finding the present ages of a father and son based on their ages in the past and future. 2) Figuring out a two-digit number given the sum of its digits and what it becomes when the digits are reversed. 3) Calculating boat and stream speeds using distance and time information. 4) Determining a fraction given the sum of its numerator and denominator and what it becomes with the denominator increased. 5) Finding the number of students in a class based on how rows are affected by adding or removing students.

1. TEST OF LINEAR EQUATION M.M. 20
1. Five yearshence,father’sage willbe three timesthe age of hisson.Five yearsago,fatherwasseventimesasoldas
hisson.Findtheirpresentages.
2. The sum of twodigitnumberis9. If the digitsare reversed, the numberisincreasedby9.Findthe number.
3. A boat goes16 kmupstreamand 24 km downstreamin6 hours. It can go 12km upstreamand3km downstreamin
the same time.Findthe speedof the boatin still waterandthe speedof the stream.
4. The sum of the numeratoranddenominatorof a fractionis12. If the denominatorisincreasedby3,the fraction
becomes½. findthe fraction.
5. Studentsof a classare made to stand inrows.If one studentisextrainrow,there wouldbe 2 rows less.If one
studentislessinrowthere wouldbe 3 rows more.Findthe numberof studentsina class.
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TEST OF LINEAR EQUATION M.M. 20
1. Five yearshence,father’sage willbe three timesthe age of hisson.Five yearsago,fatherwasseventimesasoldas
hisson.Findtheirpresentages.
2. The sum of twodigitnumberis9. If the digitsare reversed,the numberisincreasedby9.Findthe number.
3. A boat goes16 kmupstreamand 24 km downstreamin6 hours. It can go 12km upstreamand3km downstreamin
the same time.Findthe speedof the boatin still waterandthe speedof the stream.
4. The sum of the numeratoranddenominatorof a fractionis12. If the denominatorisincreasedby3,the fraction
becomes½.findthe fraction.
5. Studentsof a classare made to stand inrows.If one studentisextrainrow,there wouldbe 2 rows less.If one
studentislessinrowthere wouldbe 3 rows more.Findthe numberof studentsina class.
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TEST OF LINEAR EQUATION M.M. 20
1. Five yearshence,father’sage willbe three timesthe age of hisson.Five yearsago,fatherwasseventimesasoldas
hisson.Findtheirpresentages.
2. The sum of twodigitnumberis9. If the digitsare reversed,the numberisincreasedby9.Find the number.
3. A boat goes16 kmupstreamand 24 km downstreamin6 hours. It can go 12km upstreamand3km downstreamin
the same time.Findthe speedof the boatin still waterandthe speedof the stream.
4. The sum of the numeratoranddenominatorof a fractionis12. If the denominatorisincreasedby3,the fraction
becomes½.findthe fraction.
5. Studentsof a classare made to stand inrows.If one studentisextrainrow,there wouldbe 2 rows less.If one
studentislessinrowthere wouldbe 3 rows more.Findthe numberof studentsina class.