Question

Two positive numbers have a difference of 4 and a product of 96. What are the numbers?

a. 12 and 8
b. 16 and 6
c. 16 and 12
d. 18 and 14

Help me please.

Answer 1

y-x=4
y*x=96
solve for x and y

Answer 2

lets rearrange the top equation
y-x=4
y=x+4
now we can sub this into the 2nd equation
y*x=96
(x+4)*x=96
x^2+4x=96
solve for x

Answer 3

o.o

Answer 4

x^2+4x-96=0
(x+12)(x-8)=0
x=-12 or 8 but we only want position so x=8
so y = 12
since y=x+4
=8+4

Answer 5

you could have just looking at the answers too.. and done it without the algebra like, look at each choice, see which one has a difference of 4 and multiplies to 96

Answer 6

could have done*

Answer 7

okay A is correct.