SOLUTION: The sum of the digits of a two-digit number and the number with the digits reversed is 34. The difference of the number and the number with the digits reversed is 36. Find the ori

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Question 1046933: The sum of the digits of a two-digit number and the number with the digits reversed is 34. The difference of the number and the number with the digits reversed is 36. Find the original number.
Found 2 solutions by advanced_Learner, MathTherapy:
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
10x+y original
10y+x reversed

x+y+10y+x=34
10x+y-10y-x=36

2x+11y=34
x-y=4
2y+8+11y=34
13y=26
y=2
x-y=4
x-2=4
x=6
number is 60+2=

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two-digit number and the number with the digits reversed is 34. The difference of the number and the number with the digits reversed is 36. Find the original number.
Original number: 

Can you create the equations? By the way, they are NOTHING like the ones the other person who responded, wrote in his/her post.   

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