SOLUTION: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 266176: the sum of the digits of a 2-digit number is 10. if the digits are reversed the new number exceeds the original number by 36. find the original number.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Reversing the digits of a 2 digit numbers changes the number by 9 times the difference between the digits.
---------------
U + T = 10
U - T = 4 (36/9)
---------- Add
2U = 14
U = 7
T = 3
------
--> 37