SOLUTION: The sum of the digits of a certain Two-digit number is 12. The number with Digits reversed is 18 less than the original number. Find the number

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the digits of a certain Two-digit number is 12. The number with Digits reversed is 18 less than the original number. Find the number       Log On


   



Question 938407: The sum of the digits of a certain
Two-digit number is 12. The number with
Digits reversed is 18 less than the original number. Find the number

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
t + u = 12
u = 12-t
...
10(12-t)+ t -18 = 10t + (12-t)
120 -9t - 18 = 9t + 12
90 = 18t
5 = t and u = 7
57 the number
...
And checking
70 + 5 - 18 = 57