Answer:
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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