Question

the number of fraction is 8 less than the denominator if the number is increased by 17 and the denominator is decreased by 1 the new fraction obtained is 3/2 find a fraction.

Answer 1

Let numerator be=x
Denominator=x+8
Original fraction=x/x+8
According to the given condition,
x+17/(x+8)-1=3/2
x+17/x+7=3/2
2(x+17)=3(x+7)
2x+34=3x+21
2x-3x=21-34
-x=-13
x=13
Fraction=13/13+8=13/21