SOLUTION: The sum of the digits of a two-digit number is 12. If the digits were reversed, the new number would be 18 than the original number. What is the original number?
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Question 842084: The sum of the digits of a two-digit number is 12. If the digits were reversed, the new number would be 18 than the original number. What is the original number? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! The sum of the digits of a two-digit number is 12. If the digits were reversed, the new number would be 18 than the original number. What is the original number?
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let u=units digit
let t=tens digit
u+t=12
u=12-t
..
original number=10t+u
new number=10u+t
..
10u+t=10t+u+18
9u-9t=18
9(12-t)-9t=18
108-9t-9t=18
18t=90
t=5
u=12-t=7
new number=10u+t=75
original number=10t+u=57
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