Multiple choice

The average age of a family of husband, wife and a child 3 years ago was 30 years, and that of the child and wife 5 years ago was 23 years. What is the present age of the husband?

  1. 47 years

  2. 46 years

  3. 43 years

  4. 42 years

  5. 41 years

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

3 years ago, sum of ages (H+W+C) = 30 * 3 = 90. Present sum = 90 + 3*3 = 99. 5 years ago, sum of ages (W+C) = 23 * 2 = 46. Present sum (W+C) = 46 + 5*2 = 56. Husband's age = 99 - 56 = 43.

AI explanation

The total present age of the husband, wife, and child is 30 * 3 + 3 * 3 = 99 years. The total present age of the wife and child is 23 * 2 + 5 * 2 = 56 years. Subtracting the second total from the first gives the husband's present age of 99 - 56 = 43 years.