Question

The denominator of a fraction is greater than its numerator by 12 if numerator is increased by 2 and the denominator is increased by 7 and 9 fraction is equivalent with 1 by 2 find the fraction

Answer 1

ATQ, the denominator of a fraction is greater than it's numerator by 12.

let the numerator of the fraction be x.

therefore denominator of the fraction is = x + 12

if the numerator is increased by 2 and denominator by 7 then the fraction is equivalent to 1/2

therefore (x + 2)/(x + 12 + 7) = 1/2

==> (x + 2)/(x + 19) = 1/2

==> 2(x + 2) = x + 19

==> 2x + 4 = x + 19

==> 2x - x = 19 - 4

==> x = 15

hence, the fraction is = x/x+12 = 15/27 = 5/9

HOPE THIS HELPS..!!

Answer 2

☺️☺️Hey mate! here's your answer!☺️☺️

let x be the numerator.

so, denominator = x + 12

and if,

numerator = x + 2

and, denominator = x + 12 + 7 = x + 19

so, According to the question,

$\frac{x + 2}{x + 19} = \frac{1}{2}$

$2(x + 2) = 1(x + 19)$

$2x + 4 = x + 19$

$2 x - x = 19 - 4$

$x = 15$

thus, numerator = 15

and, denominator = 15 + 12 = 27

thus, fraction = 15/27 = 5/9

✌️hope it is helpful ✌️!