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) (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
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