Multiple choice

The present age of son is 4 times the difference between the present ages of father and mother. If the age of father is 3 times the age of son, and mother is 3 years younger than father, then what is the present age of son?

  1. 4 years

  2. 8 years

  3. 12 years

  4. 16 years

  5. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let S, F, M be ages. S = 4(F - M). F = 3S. M = F - 3 = 3S - 3. Substitute M and F into the first equation: S = 4(3S - (3S - 3)) = 4(3S - 3S + 3) = 4(3) = 12.

AI explanation

Let the father's age be F, making the mother's age F - 3 since she is 3 years younger. The son's age is 4 times the difference between the parents' ages, so the son is 4(F - (F - 3)), which equals 12. Since the son's age is also one-third of the father's age, the calculation is consistent, and the son's present age is 12 years.

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