SOLUTION: I need help with this one question is there anyone out there that is willing to help me? The sum of the digits of a certain two-digit number is 12. Reversing its digits decreases

Question 929228: I need help with this one question is there anyone out there that is willing to help me?
The sum of the digits of a certain two-digit number is 12. Reversing its digits decreases the number by 18. What is the number...
Please us elimination of substitution. If not that's okay. Please show me your work:)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Let = one's digit in original number
Let = ten's digit in original number
value of original number =
In new number (with reversed digits):
= one's digit
= ten's digit
value of new number =
given: The sum of the digits of a certain two-digit number is . Reversing its digits decreases the number by .
We can now form these equations:
"Sum of digits of two-digit no. is " (original number)
...eq.1
"Reverse the digits, the no. is decreased by ."

....eq.2
Now compare the two equations:

We can substitute for in the first equation to solve:

Now substitute this value for into one of the equations to find :

Our original number is .

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