Problem:
Ara and Shea were once the same height. Since then Shea has grown while Ara has grown half as many inches as Shea. Shea is now inches tall. How tall, in inches, is Ara now?
Answer Choices:
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Solution:
Shea is inches tall. This is times the common starting height, so the starting height was inches. Shea has grown inches. Therefore, Ara grew inches and is now inches tall.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions