Question

Ram Written a fraction in his copy if he add 2 with the numerator and denominator of that fraction it takes form 7/9 . Again if 3 is Subtracted from numerator and denominator it will becomes 1/2. Find the fraction he Wrote in that copy​

Answer 1

Solution:

Given Ram wrote a fraction

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

Ram adds 2 to the numerator and denominator and gets $\frac{7}{9}$:

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

Transposing values:

$\frac{7-2}{9-2}$ = $\frac{5}{7}$

Therefore, the fraction he wrote is $\frac{5}{7}$.

Verification:

Ram subtracts 3 from the numerator and denominator and gets $\frac{1}{2}$.

Substituting the fraction in the equation

$\frac{5-3}{7-3} = \frac{2}{4}$

$\frac{2}{4} = \frac{1}{2}$

Hence proved.