Question

The denominator of a fraction is 3 more than the numerator if 2 is added to the numerator and 5 is added to the denominator the fraction becomes 1 by 2. find the fraction.​

Answer 1

4/7

Step-by-step explanation:

Let the numerator be x.

The fraction would be x/x+3

2 is added to the numerator and 5 is added to the denominator, therefore fraction would become

x+2/x+8 = 1/2

2(x+2) = x+8

2x+4 = x+8

x = 4

Hence, the required fraction is 4/7.

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Answer 2

Answer:

If in the given fraction the denominator is 3 greater than the numerator and if 2 and 5 are added to the numerator and denominator respectively, the fraction becomes 1/2, then the fraction is 4/7

Step-by-step explanation:

Let us take x and y as the numerator and denominator respectively

Given

y=x+3

Also

$\frac{x+2}{y+5} = \frac{1}{2} \\\\2x +4 = y+5$

y=x+3

So, 2x+4 = x+3+5

2x-x = 8-4

x = 4

y= x+3 = 4+3 =7

So the fraction is 4/7