Multiple choice

If three times of the son‘s age in years is included to the mother‘s age, the total is 75 and if two times of the mother‘s age is included to the son’s age, the total is 80. So the son‘s age is?

  1. 15

  2. 18

  3. 14

  4. 22

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

Set up equations: let S = son's age, M = mother's age. From the problem: 3S + M = 75 and S + 2M = 80. Solve this system by substituting M = 75 - 3S into the second equation: S + 2(75 - 3S) = 80, which simplifies to S + 150 - 6S = 80, giving -5S = -70, so S = 14.

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