# If 48 as a product of 2 consecutive even numbers, what are the two numbers?

Sep 11, 2016

The numbers are 6 and 8.

#### Explanation:

Let the numbers be $x$ and $x + 2$.

$x \left(x + 2\right) = 48$

${x}^{2} + 2 x = 48$

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

$\left(x + 8\right) \left(x - 6\right) = 0$

$x = - 8 \mathmr{and} 6$

The numbers are $6$ and $8$.

Hopefully this helps!