Question

. The denominator of a fraction is 3 more than its numerator. If the numerator is increased
by 7 and the denominator is decreased by 2 the fraction is equal to 2. What is the sum
of the numerator and denominator of the fraction?​

Answer 1

Let the numerator be n and the denominator be n + 3

According to question

n+7/(n+3)−2=2/1

n+7/n+1=2/1

On cross multiplication

2n+2=n+7  

∴ n=5

Fraction =5/5+3=5/8

Sum=5+8=13