AMC 8 Daily Practice Round 9

Complete problem set with solutions and individual problem pages

Problem 21 Medium

Alice has four grandchildren of different ages, all under 20, and the product of their ages is 2025. What is the sum of their ages?

  • A.

    30

  • B.

    34

  • C.

    28

  • D.

    29

  • E.

    32

Answer:E

2025=3^4 \times 5^2

The ages of four children are 3, 5, 9, 15, and 3\times 5 \times 9 \times 15=2025.

So the sum of their ages is 32.