Problem:
Mary is older than Sally, and Sally is younger than Danielle. The sum of their ages is 23.2 years. How old will Mary be on her next birthday?
Answer Choices:
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Solution:
Let Danielle be years old. Sally is younger, so she is years old. Mary is older than Sally, so Mary is years old. The sum of their ages is years, so . Therefore Mary's age is years, and she will be on her next birthday.
The problems on this page are the property of the MAA's American Mathematics Competitions