Question

The numerator of fraction is 3less that denometer.if the 2 is added to the numerator The resulting fraction become 2/3 find the fraction

Answer 1

$let \: the \: numerator \: be \: (x - 3) \\ then \: denominator \: be \: x \\ and \: 2 \: is \: added \: to \: numerator \\ \: \: \: \: \: \: \: \: so. \: n = (x - 3 + 2) \\ = > \: (x - 1) \\ \\ now \: by \: aq \\ \frac{x - 1}{x} = \frac{2}{3} \\ 3( x - 1) = 2x \\ 3x - 3 = 2x \\ 3x - 2x = 3 \\ x = 3 \\ putting \: the \: value \: \: \: \: \: n = (x - 1) \\ = \geqslant (3 - 1) = 2 \\ denominator = \geqslant x = 3 \\ \\ so \: fraction \: is \: = \frac{2}{3}$