SOLUTION: the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is the original number?

Algebra ->  Linear-equations -> SOLUTION: the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is the original number?      Log On


   

Question 885691: the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is the original number?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of the digits of a two-digit number is 13. if the digits are reversed, the new number is 27 more than the original number.What is the original number?
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let u=units digit
let t=tens digit
u+t=13
u=13-t
..
10u+t=10t+u+27
10(13-t)+t=10t+13-t+27
130-10t+t=10t+13-t+27
18t=90
t=5
u=13-5=8
original number=10t+u=58