The product of two consecutive even whole numbers is 24, the numbers are : 1. -8 and -3 2. 3 and 8 3. -4 and -6 4. 4 and 6

Let two consecutive even whole numbers be x and x + 2. Given, Product of two consecutive even whole numbers = 24. ∴ x(x + 2) = 24 ⇒ x 2 + 2x = 24 ⇒ x 2 + 2x - 24 = 0 ⇒ x 2 + 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.

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

Quadratic Equations

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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.

Answered By

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Mathematics

The product of two consecutive even whole numbers is 24, the numbers are :
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3 and 8
-4 and -6
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Quadratic Equations

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