Maths Olympiad Prep

Track / Stage 4 / 134 of 340 #394 of 1964

Problem 394

AMC 12 late, AIME early
Algebra Difficulty 4.8 Multiple choice

4) A father is 46 years old and the sum of the ages of his three children is 22. In how many years will the father's age be equal to the sum of the ages of the children?

Pick one

Official solution

4) The answer is (D)

Every year that passes, the father's age increases by one while the sum of the children's ages increases by three, so the difference decreases by two and thus cancels out after twelve years.

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