SOLUTION: Hello, I need help using a system of equations to solve this problem: Amal reversed the digits in the amount of a check and underpaid a customer by $36. The sum of the dig

Question 104206: Hello,
I need help using a system of equations to solve this problem:

Amal reversed the digits in the amount of a check and underpaid a customer by $36. The sum of the digits in the two-digit amount was 8. I need help finding the amount of the check.

Thank you
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
let t=(tens digit) and u=(units digit) ... t+u=8 ... t=8-u and u=8-t

10u+t+36=10t+u ... substitute from first line to find t or u; then use t+u=8 to find the other
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