the numerator of a fraction is 8 less than the denominator if the numerator is increased by 17 and the denominator is decreased by 1 then you fraction of obtained is 3/2 find the fraction
Answers & Comments
mehaksingh
Let numerator is = n and denominator= d
suppose denominator is '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 put value in. ......(1) x-8/x=13/21
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Answers & Comments
and denominator= d
n= d-8.........(1)
n+17/d-1=3/2.....(2)
now solve this. if u problem than ask
suppose denominator is '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
put value in. ......(1)
x-8/x=13/21
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