The numerator of a fraction is 6 more than the denominator. If 5 is subtracted from the denominator, the fraction becomes 3/2. Find the fraction​

The fraction is 32/27

Step-by-step explanation:

let the fraction be x/y

x - y = 6

x = 6 + y ••••••(i)

This is according to the first sentence

Furthermore;

x/y-5 = 3/2

2x = 3(y-5) •••••(ii)

Substitute

2(6 + y) = 3y - 15

12 + 2y = 3y - 15

3y -2y = 12 + 15

y = 27

x = 6 + y

x = 6 + 27 = 33

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