SOLUTION: A certain two digit number is 4 more than 10 times the tens digit. The original number is 12 less than twice the number formed by interchanging the digits. Find the original number

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Question 1167343: A certain two digit number is 4 more than 10 times the tens digit. The original number is 12 less than twice the number formed by interchanging the digits. Find the original number.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
10x+y original number
10y+x is interchanged
10x+y+12=2(10y+x)
10x+y=10x+4
y=4
10x+4+12=20y+2x
10x+16=80+2x
8x=64
x=8
the number is 84, and that is 4 more than 10 * 8.
interchanging the number yields 48, and 84 is 2 *48-12

84.