SOLUTION: If the sum and product of two numbers are equal, what are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: If the sum and product of two numbers are equal, what are the numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 359586: If the sum and product of two numbers are equal, what are the numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numbers be x and y.
x%2By=xy
y-xy=-x
y=-x%2F%281-x%29
y=x%2F%28x-1%29
.
.
.
There are an infinite number of solutions.
Pick any x other than x=1.
The matching number that has the property that the product equals the sum would be
y=x%2F%28x-1%29
As an example,
x=2
y=2%2F%282-1%29=2
2%2A2=2%2B2
4=4
True.
.
.
.
Another example,
x=10
y=10%2F9
10%2810%2F9%29=10%2B10%2F9
100%2F9=90%2F9%2B10%2F9
100%2F9=100%2F9
True.