SOLUTION: The sum of the digits of a two-digir number is 12. If the digits are reversed, the new number is 18 more than the original number. Find the original number.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: The sum of the digits of a two-digir number is 12. If the digits are reversed, the new number is 18 more than the original number. Find the original number.       Log On


   

Question 623176: The sum of the digits of a two-digir number is 12. If the digits are reversed, the new number is 18 more than the original number. Find the original number.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the digits of a two-digir number is 12. If the digits are reversed, the new number is 18 more than the original number. Find the original number.
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let u=units digit
let t=tens digit
t+u=12
t=12-u
10t+u=original number
10u+t=new number
original number+18=new number
10t+u+18=10u+t
10(12-u)+u+18=10u+(12-u)
120-10u+u+18=10u+12-u
18u=126
u=7
t=12-7=5
..
original number=57