The denominator of a fraction is 15 greater than the numerator. If the numerator and the denominator are increased by 3, the resulting fraction is equal to 3â„4. What is the value of the original fraction?
Choose the correct answer:
A) 23 / 38  B) 29 / 44  C) 33 / 48  D) 38 / 53  E) 42 / 57

Rationale: "let the numerator be x . then the denominator is x + 15 . x + 3 / x + 18 = 3 / 4 . 4 x + 12 = 3 x + 54 . x = 42 . the original fraction is 42 / 57 . the answer is e ."
Answer: E