SOLUTION: The sum of the digits in a two digit number is 11. If the digits are reversed, the new number will be 45 less than the original number. What is the original number?

Question 287278: The sum of the digits in a two digit number is 11. If the digits are reversed, the new number will be 45 less than the original number. What is the original number?
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Set-Up:
----------
Equation 1:
Equation 2:
Solution:
----------
Solve equation 1 for 1 of the variables
Equation 1:

Now Plug (11 - A) into equation 2 for B
Equation 2:
Simplify
Combine like terms
Subtract 11 from both sides
Add 9A to both sides
Divide both sides by 18

Now plug 8 into equation 1 for A
Equation 1:

So the origional number was

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