Question

When the numerator of a fraction is increased by 2 it becomes 5/7 and if it's denominator decreased by 3 it becomes 3/4 find the fraction

Answer 1

3/7
(3+2)/7=5/7
3/(7-4)=3/4

Answer 2

$let \: fraction \: be \: \frac{x}{y} \\ \frac{x + 2}{y} = \frac{5}{7} \\ 7x + 14 = 5y \\ 7x - 5y = - 14.................(1) \\ \frac{x}{y - 3} = \frac{3}{4} \\ 4x = 3y - 9 \\ 4x - 3y = - 9..................(2) \\ from \: (1)\: and \: \: (2) \\21x - 20x = - 42 + 45 \\ x = 3 \\ y = 7 \\ fraction \: is \: \frac{3}{7}$