Question

find the numbers whose difference is 5 and product is 50​

Answer 1

Let's use the variable, x , to represent one of the numbers and the variable, y, to represent the other.

Because the difference of the two numbers is 5, we can write the following equation:

x - y = 5

Then, since their product is 50, we can write:

xy = 50

Now using the first equation, we can write an expression for y: y= x - 5

Then substitute the expression (x - 5) into the product equation for y and solve for x:

xy = 50

x (x - 5) = 50

x 2 - 5x = 50

x 2 - 5x - 50 = 0

This factors to (x- 10 ) (x + 5) = 0

x can be 10 or x can be -5

Selecting the positive solution gives us :

x = 10

Since x = 10, y = 5