Multiple choice

After 4 years, twice the age of a man will be equal to a woman's age. Six years ago, the age of the woman was 4 years less than thrice the age of the man at the time. Find the present age of the man.

  1. 20 years

  2. 22 years

  3. 28 years

  4. 30 years

  5. 44 years

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let M be man's age, W be woman's age. 2(M + 4) = W + 4 => 2M + 8 = W + 4 => W = 2M + 4. Six years ago: W - 6 = 3(M - 6) - 4 => W - 6 = 3M - 18 - 4 => W = 3M - 16. Equating: 2M + 4 = 3M - 16 => M = 20.