1952 AHSME Problems/Problem 44
Problem
If an integer of two digits is times the sum of its digits, the number formed by interchanging the digits is the sum of the digits multiplied by
Solution
Let . The problem states that . We want to find , where . Adding these two equations gives . Because , we have , or .
See Also
1952 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 43 |
Followed by Problem 45 | |
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