Question

The product of two consecutive positive even number is 48. Select the correct numbers.

• A. 7
• B. 6
• C. 9
• D. 8

Answer 1

Answer: (B), (D)

The correct options are
B

6

D

8

Let the two consecutive even numbers be $x$ and $x+2$

According to given condition

$x(x+2)=48$

$x^2+2x=48$

$x^2+2x-48=0$

$x^2+8x-6x-48=0$

$(x+8)(x-6)=0$

x = -8 and 6

Ignoring the negative value

$x$ = 6, we get $x+2$ = 8

So, required numbers are 6 and 8.