The denominator of a fraction is 3 more than the numerator. If both numerator and denominator are increased by 2, the resulting fraction is 2. Find the fraction.

Answer 1

n/(n+3) = n/d is the original fraction

n= numerator, d= denominator = n+3

increase both by 2 gives:

(n+2)/(n+3+2) = 2

(n+2)/(n+5) = 2

n+2 =2(n+5)

n+2 = 2n+10

2-10 = 2n-n = n

n =2-10 = -8

d=n+3 = -8+3 = -5

the original fraction is -8/-5