Question

The denominator of a fraction is 5 more than the numerator. If both the denominator and the numerator are increased by 3, the fraction becomes ¾. Find the original fraction.

Answer 1

Step-by-step explanation:

$let \: the \: numerater \: be \: x \: \: denomiater \: is \: \\ x + 5 \: \\ \: fraction \: \: \frac{x}{x + 5} \: \: \\ \: a.t.q . \frac{x + 3}{x + 5 + 3} \: \\ \: \\ \frac{x + 3}{x + 8} \: = \: \: \: \frac{3}{4 \: \: } \: \\ \: 4x + 12 = 3x + 24 \: \: \\ 4x - 3x = 24 - 12 \: \: \\ x = 12$

then fraction

$\frac{x}{x + 5}$

$\frac{12}{12 + 5} \: \: = \frac{12}{17} \: \: \: answer$