The numerator of a fraction exceeds the denominator by 5...

Question

The numerator of a fraction exceeds the denominator by 5. If the numerator is decreased by 4 and the denominator is increased by 3, the resulting fraction is equal to 0 6. Find the original fraction.

Answer 1

N: N = D+5

N-4/D+3 = 0.6

0.6 = 3/5

N=7

D=2

The original fraction is 7/2

Answer 2

Let x = denominator of the original fraction. Then the numerator = x + 5.

So, [x+5 - 4] / (x + 3) = 6/10

Cross multiply to get 10(x + 1) = 6(x + 3)

Solve for x.