Question

The denominator of a fraction is 8 more than the numerator. If 5 is added to the numerator and denominator the fraction becomes ½. Find the fraction.

Answer 1

Let numerator = x
denominator = x+8

If 5 is added,

numerator = x+5

denominator = x+8+5
= x +13

(x+5) / (x+13) = 1/2

2(x+5) = 1(x+13)

2x + 10 = x + 13

2x-x = 13-10

x = 3

fraction = 3/11

Answer 2

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