Multiple choice

If before three years sum of ages of father and son was $59$ years then before five years the sum of their ages would have been_________________.

  1. $55$
  2. $61$
  3. $69$
  4. $57$
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A Correct answer
Explanation

Sum of ages 3 years ago = 59. Current sum = 59 + 3 + 3 = 65. Sum 5 years ago = 65 - 5 - 5 = 55.

AI explanation

The sum of ages for two people always decreases by exactly 2 years for every year you go backwards in time. The difference between three years ago and five years ago is 2 years. Going backwards those 2 years reduces the total sum by 2 times 2 years, which is 4 years. Subtracting 4 from 59 gives a sum of 55 years.

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