Question

The numerator of a fraction is 8 less than the denomenator if the numerator is increased by 17 and the denominator is decreased by 1 the new fraction obtained is 3/2 find tha fraction

Answer 1

Answer:

13/21

Step-by-step explanation: 13/21

let the denominator be'x' then,

the numerator of fraction is 8less than the denominator.

x-8/x ..(1)

numerator is increased by 17

denominator is decreased by 1

x-8+17/x-1=3/2

by cross multiplication

2(x-8+17)=3(x-1)

2x-16+34=3x-3

2x+18=3x-3

18+3=3x-2x

21=x

putting the value of x = 21 in eq 1

x-8/x=13/21

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