Maths Olympiad Prep

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, 2015

Algebra Difficulty 1.2 Junior Find the answer Canada

The average age of Andras, Frances and Gerta is 22 years.

Name
Age (Years)

Andras
23

Frances
24

Gerta
?

What is Gerta’s age?

Pick one

Solution

Since the average of the three ages is 22, then the sum of the three ages is 322=663\cdot 22 = 66.

Since Andras’ age is 23 and Frances’ age is 24, then Gerta’s age is 662324=1966-23-24=19.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.