SOLUTION: The digits of a two-digit number are reversed. When both these two-digit numbers are added, the result is 88, and when subtracted, the result is 54. The original two-digit number c
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Question 326352: The digits of a two-digit number are reversed. When both these two-digit numbers are added, the result is 88, and when subtracted, the result is 54. The original two-digit number contains what digits?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the 10s digit of the original number, then let 
represent the 1s digit of the original number.
The original number is then 
, and the number with the digits reversed is 
, which can be written 
.
If you add the two numbers you get 88, so 
which is to say 
If you subtract the two numbers you get 54, so 
which is to say 
Add the two equations
hence
and
Original number is 71, reversed digits is 17. 71 plus 17 = 88, 71 minus 17 = 54.
John
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