Two positive numbers have a difference of 4 and a product of 96. What are the numbers?
A
B
12 and 8
16 and 6
16 and 12
D.
18 and 14
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12 and 8

Step-by-step explanation:

the difference is 4 if you do 12-8=4

the product sum is 96 which is 12*8=96

12 and 8

Step-by-step explanation:

Let the numbers be x  and y

x - y = 4 (1)

xy = 96 (2)

From equation 1

x = 4+y (3)

Put x = 4+ y into equation 2

y(4+y) = 96

y² +4y = 96

y² + 4y - 96 = 0

Solve quadratically using factorisation method

y² + 12y - 8y - 96 =0

y(y+12) - 8 ( y + 12) = 0

(y +12)(y -8) = 0

y = -12 or 8

When y = -12

x = 4+y = 4-12 = -8

When y= 8

x = 4+y = 4+8 =12

Numbers are 12 and 8  or -8 and -12

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597

step-by-step explanation: