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Let two numbers be x and y. Assume y>x.
i.e., Let y be greater than x
Given:
the larger of 2 number is 20 more than the smaller
y=20+x
Four times the larger is 70 more than 5 times the smaller
4y=70+5x
substituting y=20+x in 4y=70+5x
we get,
4(20+x)=70+5x
80+4x=70+5x (Bringing 4x to R.H.S & 70 to L.H.S,we get)
80-70=5x-4x
10=x
x=10
we know that y=20+x which gives
y=20+10
y=30
thus, x=10 and y=30
Solution
Let two numbers be x and y. Assume y>x.
i.e., Let y be greater than x
Given:
the larger of 2 number is 20 more than the smaller
y=20+x
Four times the larger is 70 more than 5 times the smaller
4y=70+5x
substituting y=20+x in 4y=70+5x
we get,
4(20+x)=70+5x
80+4x=70+5x (Bringing 4x to R.H.S & 70 to L.H.S,we get)
80-70=5x-4x
10=x
x=10
we know that y=20+x which gives
y=20+10
y=30
thus, x=10 and y=30

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Let two numbers be x and y. Assume yx.i.e., Let y be greater than.pdf

  • 1. Let two numbers be x and y. Assume y>x. i.e., Let y be greater than x Given: the larger of 2 number is 20 more than the smaller y=20+x Four times the larger is 70 more than 5 times the smaller 4y=70+5x substituting y=20+x in 4y=70+5x we get, 4(20+x)=70+5x 80+4x=70+5x (Bringing 4x to R.H.S & 70 to L.H.S,we get) 80-70=5x-4x 10=x x=10 we know that y=20+x which gives y=20+10 y=30 thus, x=10 and y=30 Solution Let two numbers be x and y. Assume y>x. i.e., Let y be greater than x
  • 2. Given: the larger of 2 number is 20 more than the smaller y=20+x Four times the larger is 70 more than 5 times the smaller 4y=70+5x substituting y=20+x in 4y=70+5x we get, 4(20+x)=70+5x 80+4x=70+5x (Bringing 4x to R.H.S & 70 to L.H.S,we get) 80-70=5x-4x 10=x x=10 we know that y=20+x which gives y=20+10 y=30 thus, x=10 and y=30