2014 AMC 12A Problems/Problem 6
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Problem
The difference between a two-digit number and the number obtained by reversing its digits is times the sum of the digits of either number. What is the sum of the two digit number and its reverse?
Solution
Let the two digits be and . Then, , or . This yields and because . Then,
See Also
2014 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 5 |
Followed by Problem 7 |
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All AMC 12 Problems and Solutions |
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