SOLUTION: The sum of the digits of a two digit number is 11. When the digits are reversed, the new number is 27 less than the original number. Find the original number.

SOLUTION: The sum of the digits of a two digit number is 11. When the digits are reversed, the new number is 27 less than the original number. Find the original number.

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Question 940664: The sum of the digits of a two digit number is 11. When the digits are reversed, the new number is 27 less than the original number. Find the original number.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
U and T the digits.

Goal is to find 10T+U.

Simplify the second equation:

Summarize simplified system:

Ready for easy elimination method.

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The two-digit number is 47.
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