SOLUTION: The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the origianl number, the result is 18. What is the original

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Question 36838This question is from textbook Algebra
: The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the origianl number, the result is 18. What is the original number? This question is from textbook Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=14 THUS X=14-Y & 10X+Y-(10Y+X)=18 OR 10X+Y-10Y-X=18 OR 9X-9Y=18 OR
9(14-Y)-9Y=18 OR 126-9Y-9Y=18 OR 126-18Y=18 OR -18Y=-108 OR Y=6 & X+6=14 OR X=8
THUS 8+6=14 & 86-68=18 OR 18=18