Problem:
The number is a two-digit number.
When is divided by , the remainder is .
When is divided by , the remainder is .
What is the remainder when is divided by
Answer Choices:
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B.
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E.
Solution:
The two-digit numbers that leave a remainder of when divided by are: . The two-digit numbers that leave a remainder of when divided are: . Among these two sets, is the only common number. When is divided by the remainder is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions