SOLUTION: The digits of a 2-digit number differ by 2. If the digits interchange and the resulting new number is added to the original number, we get 88. Find the original number. Please help

Question 950635: The digits of a 2-digit number differ by 2. If the digits interchange and the resulting new number is added to the original number, we get 88. Find the original number. Please help.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
The digits of a 2-digit number differ by 2. If the digits interchange and the resulting new number is added to the original number, we get 88. Find the original number. Please help.
U=units digit; T=tens digit U=T+2
(10T+U)+(10U+T)=88
11T+11U=88
11(T+U)=88 Divide each side by 11.
T+U=8 Substitute for U.
T+T+2=8
2T=6
T=3
ANSWER: The number is 35 or 53

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