A man is 5 times as old as his son now. Four years ago, the product of their ages was 52. What are their present ages?

A man is 5 times as old as his son now. Four years ago, the product of their ages was 52. What are their present ages?

Explanation


  • The son's current age be xx
  • The man's current age is 5 times the son's age, so the man's age is
    5x
    .
  • Four years ago, the product of their age was 52.

Four years ago:

  • The son's age was x4x - 4.
  • The man's age was .

According to the problem, the product of their ages 4 years ago is 52:

  1. Expand the left side: