SOLUTION: Please help me solve this problem. Find all the two-digit whole numbers (greater than zero) such that the difference between the whole number and the product of its digits i

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Question 168875: Please help me solve this problem.


Find all the two-digit whole numbers (greater than zero) such that the difference between the whole number and the product of its digits is 12. Please show your work.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the two-digit whole numbers (greater than zero) such that the difference between the whole number and the product of its digits is 12
:
Let x = 10's digit
Let y = units digit
:
Write an equation for what it says:
:
(10x + y) - xy = 12
y - xy = 12 - 10x
y(1 - x) = 12 - 10x
y = %28%2812-10x%29%29%2F%28%281-x%29%29
:
Use the equation, to find y
x | y | no.|xy
---------------
2 | 8 | 28, 16
3 | 9 | 39, 27
and that's it