Question

The numerator of a fraction is 3 less than its denominator if 2 is added to both the numerator and denominator,then the sum of the new fraction is 29 upon 30 .Find the original fraction

Answer 1

Answer: 85/88

Step-by-step explanation:

Since numerator is 3 less than its denominator we can write the fraction as (a-3)/a

if 2 is added to both the numerator and denominator,then the sum of the new fraction is 29 upon 30

So (a-3+2)/(a+2) = 29/30

(a-1)/(a+2)=29/30

30(a-1)=29(a+2)

a=58+30 = 88

So the fraction is 85/88