Multiple choice

A man is three years elder than his wife and four times as old as his son. If the son shall attain an age of fifteen years after three years, what is the present age of his wife?

  1. $60$ years
  2. $51$ years
  3. $48$ years
  4. $45$ years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The son will be 15 in 3 years, so his current age is 12. The man is 4 times as old as his son, so the man is 48. Since the man is 3 years older than his wife, the wife is 45.

AI explanation

The son will be 15 years old after 3 years, so his present age is $15 - 3 = 12$ years. The man is four times as old as his son, making the man's present age $4 \times 12 = 48$ years. Since the man is 3 years elder than his wife, her present age is $48 - 3 = 45$ years.