Question

if the numetator of a fraction is multiplied by 4 and the denominator is reduced by 2, the result is 2 . if the numerator of the fraction is increase by 15 and 2 is subtracted from the double of the denominator the result is 9/7 . find the fraction
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Answer 1

Answer:

The fraction is $\frac{3}{8}$

Step-by-step explanation:

Let the fraction be $\frac{x}{y}$.

Given:

$\frac{4x}{y-2} =2$

4x = 2y - 4

4x - 2y = -4 ------(1)

and

$\frac{x+15}{2y-2} =\frac{9}{7}$

7x + 105 =18y -18

7x - 18y = -123 -----(2)

Solving (1) and (2) simultaneously we get:

x = 3 and y =8

Hence,

The fraction is $\frac{3}{8}$