MP Police Constable 12-Aug-2023 Shift 1 Solved Paper

The square of the sum of the numerator and denominator of a fraction is 289 . If 1 is added to thrice the numerator and 2 is subtracted from twice the denominator, the fraction so obtained is the square of $\frac{5}{4}$. The difference between the numerator and denominator of the original fraction is: