SOLUTION: a two digit number is three times the sum of each digit. If 45 is addad to the number, the digit reverses. Find the number.

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Question 331918: a two digit number is three times the sum of each digit. If 45 is addad to the number, the digit reverses. Find the number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be xy.
10x+y= 3(x+y)
10x+y=3x+3y
7x-2y=0...................1
..
10x+y+45 = 10y+x
9x-9y=-45
x-y=-5....................2
..
multiply equation 2 by -2 and add to equation 1
-2(x-y)+7x-2y=10+0
-2x+2y+7x-2y=10
5x=10
x=2
..
x-y=-5
2-y=-5
y=7
the number is 27