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I've chosen a two digit number such that when I add it to the sum of its digits, the result is 50. What is my two digit number?

 Jul 6, 2020
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Let a be the tens digit and b the ones digit. Then the two digit number is 10a+b. We then know that 10a+b+a+b=50. Simplifying, we get 11a+2b=50. Using guess and check, a must be 4 and b 3. Therefore the two digit number is 43.

 Jul 6, 2020

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