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Word problem of number found after many manipulations

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When the digits of a two digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?

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Solution Summary

Systems of equations are used to solve an algebraic word problem. The digits of the original numbers are determined.

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Let x and y be the digits and let the original number be xy.
If the sum of the digits of the original number is 11 then we ...

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