Mathematics
The product of two consecutive even whole numbers is 24, the numbers are :
-8 and -3
3 and 8
-4 and -6
4 and 6
Answer
Let two consecutive even whole numbers be x and x + 2.
Given,
Product of two consecutive even whole numbers = 24.
∴ x(x + 2) = 24
⇒ x2 + 2x = 24
⇒ x2 + 2x - 24 = 0
⇒ x2 + 6x - 4x - 24 = 0
⇒ x(x + 6) - 4(x + 6) = 0
⇒ (x - 4)(x + 6) = 0
⇒ x - 4 = 0 or x + 6 = 0
⇒ x = 4 or x = -6.
Since, x is a whole number so x cannot be equal to -6.
x = 4 and x + 2 = 6.
Hence, Option 4 is the correct option.