Question

the product of two consecutive even number is 360. Find the number​

Answer 1

The two numbers are "18 and 20".

Step-by-step explanation:

Let  first consecutive even number = x and sceond consecutive even number =  (x + 2)

According to question,

x(x + 2) = 360

⇒ $x^{2}$ + 2x - 360

⇒ $x^{2}$ + 20x - 18x - 360 = 0

⇒x(x + 20) - 18(x + 20) = 0

⇒ (x + 20)(x - 18) = 0

∴ x = 18 [Since, x never be negative]

∴ x + 2 = 18 + 2 = 20

Hence, the two numbers are "18 and 20".