SOLUTION: if the digits of a two digit number are reversed, the number is increased by 36. The sum of the digit in the number is three times their difference. What is the number?

Question 355609: if the digits of a two digit number are reversed, the number is increased by 36. The sum of the digit in the number is three times their difference. What is the number?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the digit in tens place be x
& in the units place be y
..
10y+x=10x+y+36
9y-9x=36
/9
y-x=4.....................1
...
x+y=3(x-y)
x+y=3x-3y
2x-4y=0
/2
x-2y=0....................2
Add equation1 & 2
-y=4
y=-4
plug value of y in 1
y-x=4
-4-x=4
x=-8
...
-84 is the number
...
m.ananth@hotmail.ca

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