Multiple choice

Arman's age is three times his son's age. Ten years ago he was five times his son's age. Find their present ages.

  1. Son's age $= 20$ years and Aman's age $= 60$years.
  2. Son's age $= 12$ years and Aman's age $= 36$years.
  3. Son's age $= 18$years and Aman's age $= 54$years.
  4. Son's age $= 15$ years and Aman's age $= 45$years.
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A Correct answer
Explanation

Let son's age be x, Arman's be 3x. Ten years ago: 3x - 10 = 5(x - 10). 3x - 10 = 5x - 50, so 2x = 40, x = 20. Arman = 3 * 20 = 60.

AI explanation

Let the son's present age be x years, making Arman's present age 3x years. Ten years ago, their ages were x - 10 and 3x - 10 respectively, and Arman was five times as old as his son, so 3x - 10 = 5(x - 10). Expanding and simplifying gives 3x - 10 = 5x - 50, meaning 2x = 40, so x = 20. The son's present age is 20 years and Arman's present age is 60 years.

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