CEMC Pascal

Algebra Difficulty 1.8 Junior Find the answer

The average age of Andras, Frances, and Gerta is 22 years. Given that Andras is 23 and Frances is 24, what is Gerta's age?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Since the average of the three ages is 22, the sum of the three ages is $3 \times 22 = 66$ . Since Andras' age is 23 and Frances' age is 24, then Gerta's age is $66 - 23 - 24 = 19$ .

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