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# To Sum It Up

Pro Problems > Math > Algebra > Equations > Systems of Equations > Non-Linear

## To Sum It Up

I have picked three positive integers for the lottery, as follows: The sum of my numbers is 54. The sum of my numbers, plus the sum of two of my numbers, is 84. The sum of the squares of my numbers is 1034. What are the three integers?

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Problem by Mr. Twitchell

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