Algebra fractions

Question

The denominator of a fraction is one more than twice the numerator. If both numerator and Denominator are increased by 9 the simplified result is 13/22. what is the original fraction

Answer 1

d = 2n + 1

(n + 9)/(d + 9) = 13/22

 

n + 9 = 13

n = 4

 

d = 2(4) + 1 = 9

 

4/9