SOLUTION: A two digit number, whose sum of digits is ten, will be 36 less than the original number when the digits are reversed. What is the original number?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A two digit number, whose sum of digits is ten, will be 36 less than the original number when the digits are reversed. What is the original number?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 772368: A two digit number, whose sum of digits is ten, will be 36 less than the original number when the digits are reversed. What is the original number?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A two digit number, whose sum of digits is ten, will be 36 less than the original number when the digits are reversed. What is the original number?
***
let u=units digit
let t=tens digit
u+t=10
u=10-t
..
10t+u=10u+t+36
10t+10-t=10(10-t)+t+36
10t+10-t=100-10t+t+36
10t+10-t=100-10t+t+36
18t=126
t=7
u=10-t=3
original number=73