Multiple choice

A man's age is three times his son's age. Ten years ago, the man's age was five times his son's age. What is the present age of the man?

  1. 60 years

  2. 30 years

  3. 45 years

  4. 75 years
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A Correct answer
Explanation

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

AI explanation

Let the present age of the son be x years, which makes the present age of the man 3x years. Ten years ago, their ages were (x minus 10) and (3x minus 10), so we can write the equation 3x minus 10 equals 5 multiplied by (x minus 10). Expanding and simplifying this gives 3x minus 10 equals 5x minus 50, which results in 2x equals 40 and x equals 20. Therefore, the present age of the man is 3 multiplied by 20, which is 60 years.

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