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Word problem of number found after many manipulations

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?

Solution Preview

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 ...

Solution Summary

Systems of equations are used to solve an algebraic word problem.

$2.19