SOLUTION: solve by system of equations. The sum of the digits of a two digit number is 12. if 18 is added to the number, the digits will be reversed. Find the number.

Question 381326: solve by system of equations.
The sum of the digits of a two digit number is 12. if 18 is added to the number, the digits will be reversed. Find the number.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve by system of equations.
The sum of the digits of a two digit number is 12. if 18 is added to the number, the digits will be reversed. Find the number.
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Let the number be 10t+u.
Equations:
t + u = 12
10t+u + 18 = 10u+t
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Rearrange:
9t + 9u = 9*12
9t - 9u =-18
----------------
Add and solve for "t":
18t = 90
t = 5
===
Since t+u = 12, u = 7
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Number = 57
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Cheers,
Stan H.
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