The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number.

Question

goformit100 · Answer

@Justin9529

justin9529 · Answer

if the numerator=x
then the denominator=x+8
the fraction=x/x+8
if numerator is increased by 17&denominator is decreased by 1then the fraction is
x+17/ x+8-1=x+17/ x+7
x+17/ x+8=3/2
cross multiplication
=2(x+17)=3(x+8)
=2x+34=3x+24
3x-2x=34-24
x=10
numerator=x=10
denominator=x+8=18