Problem:
The number can be written as a product of a pair of positive two-digit numbers. What is the sum of this pair of numbers?
Answer Choices:
A.
B.
C.
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E.
Solution:
The prime factorization of is . Since the product of any three of these primes is a three-digit number and since and are both three-digit numbers, it follows that the only pair of two-digit numbers with product is and . Thus the answer is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions