SOLUTION: The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number.

SOLUTION: The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number.

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Question 186127This question is from textbook Algebra 1
: The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number. This question is from textbook Algebra 1

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let u=units digit & t=tens digit
t+u=13
u=13-t
.
numb+ 9=new numb
10t+u+9=10u+t
10t+13-t+9=10(13-t)+t Substitute 13-t for u.
9t+22=130-10t+t
9t+22=130-9t
18t=108
t=6
u=7
.
Ed
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