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Question 483864: Product of two digit number is 12. when 36 is added to it the number reverses it self.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let x = the 10's digit
let y = the units
then
10x + y = the number
and
10y + x = the number reversed
:
Product of two digit number is 12.
xy = 12
:
when 36 is added to it the number reverses it self.
10x + y + 36 = 10y + x
10x - x = 10y - y - 36
9x = 9y - 36
simplify, divide by 9
x = y - 4
:
In the first equation replace x with (y-4)
y(y-4) = 12
y^2 - 4y - 12 = 0; a quadratic equation
factors to:
(y-6)(y+2) = 0
Positive solution is what we want here
y = 6
then
x = 12/6
x = 2
:
26 is the number:
:
Check in the statement:
"when 36 is added to it the number reverses it self."
26 + 36 = 62
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