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?
Answer: 6 and 30
Explanation
- The son's current age be
- 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 x−4.
- The man's age was 5x−4.
According to the problem, the product of their ages 4 years ago is 52:
(x−4)(5x−4)=52
Expand the left side:
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