Question

The numerator of a fraction is 7 less than denominator of 3 is added to the number and 9 is subtracted from denominator the new fraction is equal to the 3 by 2 find the original fraction

Answer 1

let the numerator and denominator be X
then,
A.T.Q,
$\frac{x - 7 + 3}{x - 9} = \frac{3}{2}$
$\frac{x - 4}{x - 9} = \frac{3}{2}$
$3(x - 9) = 2(x - 4)$
$3x - 27 = 2x - 8$
$3x - 2x = 27 - 8$
$x = 19$
So numerator= 6