SOLUTION: Can you please help me set this problem up? The sum of the digits of a two-digit number is 14. If the digits are reversed, the new number is 18 less than the original number. Find

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Question 372234: Can you please help me set this problem up? The sum of the digits of a two-digit number is 14. If the digits are reversed, the new number is 18 less than the original number. Find the original number.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let be the original 10s digit and let be the original 1s digit.

First we are given that:



And then:



Collecting terms:





So solve the system:





John

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