Question

the difference between two numbers is 2 and their product is 143 find the numbers​

Answer 1

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Answer 2

Let the numbers be x and y.
A/Q, x - y = 2 i.e x = y +2...(1)
and, xy = 143
(y + 2)y = 143
y^2 + 2y -143 = 0
y^2 + 13y - 11y -143 = 0
y (y + 13) -11 (y + 13) = 0
(y + 13)(y -11) = 0
so, y = -13(rejected)
So., y = 11.
thus, x = 13.