SOLUTION: The sum of the digits of a two-digit number is 12. If the digits are interchanged, the number is increased by 54. What is the original number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of the digits of a two-digit number is 12. If the digits are interchanged, the number is increased by 54. What is the original number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 286228: The sum of the digits of a two-digit number is 12. If the digits are interchanged, the number is increased by 54. What is the original number?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=12
10b+a-(10a+b)=54
a=3 b=9
check
39+54=93
ok