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 ORIGINAL NUMBER, THE RESULT IS 18. WHAT IS THE ORIGINA

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 ORIGINAL NUMBER, THE RESULT IS 18. WHAT IS THE ORIGINA      Log On

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Question 185143: THE SUM OF THE DIGITS OF A TWO-DIGIT NUMBER IS 14.
IF THE NUMBER REPRESENTED BY REVERSING THE DIGITS IS SUBTRACTED FROM THE ORIGINAL NUMBER, THE RESULT IS 18.
WHAT IS THE ORIGINAL NUMBER?
Answer by solver91311(12126) About Me  (Show Source):
You can put this solution on YOUR website!

Please stop shouting. Typing in all caps is the electronic equivalent of shouting and is both rude and annoying.

Let x represent the 10s digit and let y represent the 1s digit. Then the number is and the number with the digits reversed is

The sum of the digits is 14:



Reversing the digits subtracted from the original number:



Now you have a system of two equations in two variables. Solve the system. The x value will be the 10s digit of the original number and the y value will be the 1s digit.

John