SOLUTION: A TWO DIGIT NUMBER IS SUCH THAT THE PRODUCT OF ITS DIGIT IS 15.IF18 IS ADDED TO THE NUMBER,YHE DIGIT INTERCHNGE THEIR PLACES. FIND TH NUMBER

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Question 371115: A TWO DIGIT NUMBER IS SUCH THAT THE PRODUCT OF ITS DIGIT IS 15.IF18 IS ADDED TO THE NUMBER,YHE DIGIT INTERCHNGE THEIR PLACES. FIND TH NUMBER
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let x be in the ten's place
y in units place.
(xy)
..
xy=15
x=15/y
...
10x+y +18 = 10y+x
9x-9y=-18
x-y=-2
..
plug value of x in this equation
15/y - y = -2
(15-y^2)/y =-2
15-y^2=-2y
re write
y^2-2y-15=0
y^2-5y+2y-15=0
y(y-5)+2(y-5)=0
(y-5)(y+2)=0
y = 5 OR -2
When y = 5 x = 3
number = 35
..
m.ananth@hotmail.ca