A problem

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I was just reading my Mathematics Book when I tried to multiply the two pages in front of me. If the product is a three digit number whose sum is 11 and the ones digit is equal to the hundreds digit, what is the sum of the squares of the numbers?

535 545 454 353

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1 solution

The pages are 16 and 17 and it's product is 272 which is a three digit number and whose sum is 11 and also, the ones digit which is 2, is equal to the hundreds digit which is also 2. The square of 16 is 256 and 17 is 289 and their sum is 545. So therefore, 545 is the final answer.

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