Question

In a fraction, denominator is 3 less than the twice the numerator. If 1 2 is subtracted from numerator and 3 5 is added to the denominator, then the new fraction becomes 45 . 76 Find the original fraction

Answer 1

Answer:

$let \: te \: fraction \: is \\ \frac{2x - 12}{(x - 3) + 35} = \frac{45}{76} \\ 76(2x - 12) = 45(x + 32) \\ 152x - 912 = 45x + 1440 \\ (152 - 45)x = 1440 + 912 \\ 107x = 2352 \\ x = \frac{2352}{107} \\ x = 21.98$