Question

The difference of two numbers if four and their product is 60

Answer 1

The two numbers are 10 and 6.

Explanation:

Let's begin by calling these two numbers x and y, and setting up a system of equations.

x-y=4

x*y=60

Now, you can rearrange the first equation to find the value of x expressed through y.

x=y+4

Now, you can substitute this into the second equation.

(y+4)*y=60

y^2+4y=60

y^2+4y-60=0

(y-6)(y+10)=0

y=6

x=6+4=10

Hope this helps!