Answer:
6,30
Step-by-step explanation:
The product of two whole numbers is 180
xy = 180
and their sum is 36
x+y = 36
x = 36-y
Substitute this into the first equation
(36-y) (y) = 180
36y - y^2 = 180
Add y^2 to each side
36y = 180 +y^2
Subtract 36y from each side
0 = y^2 -36y +180
Factor
0=(y-6) (y-30)
Using the zero product property
y-6 =0 y-30 =0
y = 6 y= 30
Now we need to find x
If y =6
x = 36-6=30
If y = 30
x = 36-30=6
The two numbers are 30 and 6
