Question

the denominator of a fraction is 3 more than the numerator if 5 is added to both parts the resulting fraction is equivalent to 4/5. find the fraction

Answer 1

Hey MATE!

Let the numerator of the fraction be x. therefore the denominator is (x + 3)

Fraction is :
$\frac{x}{x + 5}$


Now it is said that we add 5 to both and the fraction becomes 4/5 :

$\frac{x + 5}{(x + 5) + 5} = \frac{4}{5} \\ 5(x + 5) = 4(x + 10) \\ 5x + 25 = 4x + 40 \\ x = 40 - 25 \\ x = 15 \\ \\ therefore \: fraction \: is \: = > \\ \frac{15}{15 + 5} = > \frac{15}{20}$

Hope it helps

Hakuna Matata :))