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1997 AMC 8 Question 23

AMC8 · 1997 AMC 8

Question 23

There are positive integers that have these properties:

I. the sum of the squares of their digits is $50,$ and

II. each digit is larger than the one to its left.

The product of the digits of the largest integer with both properties is
  1. $7$
  2. $25$
  3. $36$
  4. $48$
  5. $60$