two natural numbers are such that they differ by 2 and their product is 48 . Find the number
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Let two numbers be x,y
x-y =2
x = 2+y
x(y) = 48
put value of x here
(2+y) (y) = 48
2y + y² = 48
y² + 2y - 48 = 0
y² + 8y - 6y - 48 = 0
y (y+8) - 6(y+8) = 0
(y-6) (y+8) = 0
y = 6, -8
6 is natural number so y = 6
x = 8
HOPE IT HELPS
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