MathDB
1997 AJHSME #23 - Properties of Integers

Source:

June 30, 2011
AMC

Problem Statement

There are positive integers that have these properties:
* the sum of the squares of their digits is 50, and * each digit is larger than the one to its left.
The product of the digits of the largest integer with both properties is
<spanclass=latexbold>(A)</span> 7<spanclass=latexbold>(B)</span> 25<spanclass=latexbold>(C)</span> 36<spanclass=latexbold>(D)</span> 48<spanclass=latexbold>(E)</span> 60<span class='latex-bold'>(A)</span>\ 7 \qquad <span class='latex-bold'>(B)</span>\ 25 \qquad <span class='latex-bold'>(C)</span>\ 36 \qquad <span class='latex-bold'>(D)</span>\ 48 \qquad <span class='latex-bold'>(E)</span>\ 60