SOLUTION: The sum of the digits of a two- digit number is 14. If the digits are reversed, the resulting number is 23 less than two times the original number. What is the original number?

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Question 1175112: The sum of the digits of a two- digit number is 14. If the digits are reversed, the resulting
number is 23 less than two times the original number. What is the original number?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The number 10t%2Bu

system%28t%2Bu=14%2C2%2810t%2Bu%29-%2810u%2Bt%29=23%29
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20t%2B2u-10u-t=23
19t-8u=23
19t-8%2814-t%29=23
19t-8%2A14%2B8t=23
27t=23%2B8%2A14
27t=135
t=5------------u=9

The Number, 59