Question

The product of two numbers is 1200 and their difference is 40.Find the numbers

Answer 1

60, 20

Step-by-step explanation:

Let the 2 numbers be x and y

xy = 1200 [Eq.1]

x-y = 40 [Eq.2]

x = 1200/y (From Eq 1)

Substituting this in Eq 2

1200/y - y = 40

1200 - y² = 40y

y² + 40y - 1200 = 0

y² + 60y - 20y - 1200 = 0

y (y+60) - 20 (y+60) = 0

(y-20)(y+60) = 0

Therefore possible values for y = 20, -60

But y ≠ -ve

Therefore the 2 numbers are 60 and 20.

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