Question

The product of two consecutive even natural numbers is 120. Find the number​

Answer 1

Answer:

Let the numbers be x and x+2.

As per given condition:-

x (x+2) = 120

x^2 +2x - 120 = 0

x^2 +12x-10x -120 = 0

x (x+12) -10 (x+12) = 0

(x+12)(x-10) = 0

x = -12 & 10

When x = -12

The numbers are

x = -12 &

x +2 = -12+2

= -10

When x = 10

Then numbers are

x = 10

x+2 = 12

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