SOLUTION: the sum of the digits of a two-digit number is 8 and the different between the number and that formed by reversing the digits is 18. find the number
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Question 588766: the sum of the digits of a two-digit number is 8 and the different between the number and that formed by reversing the digits is 18. find the number
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the 10s digit of the unknown number. Let 
represent the 1s digit. The number can be represented by 
and the number with the digits reversed can be represented by 
.
We are given that
and
\ -\ (10y\ +\ x)\ =\ 18)
Collect like terms and simplify the second equation:
Leaving us with the 2X2 system:
Solve by elimination.
John
My calculator said it, I believe it, that settles it
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