SOLUTION: The sum of e digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number. Find the original number.
Algebra ->
Customizable Word Problem Solvers
-> Mixtures
-> SOLUTION: The sum of e digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number. Find the original number.
Log On
Question 619085: The sum of e digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number. Find the original number. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of the digits of a two digit number is 9. If the digits are reversed,the new number is 45 less than the original number.
Find the original number.
---------------------
Let the number be 10t+u
Reversed you get 10u+t
--------------------------------
Equations:
t + u = 9
10t+u - (10u+t) = 45
----
Rearrange:
t + u = 9
9t-9u = 45
------
Modify;
t + u = 9
t - u = 5
------------------
2t = 14
t = 7
Then u = 2
----
Original Number: 10t+u = 72
(