Question

when we multiply two consecutive even numbers we get 4224.what is the smallest number between the two even numbers

Answer 1

Here we are given that when two consecutive even numbers are multiplied then we get 4224.

We have to find out the smallest number among the two.

Let the smaller number be 'x'

Then the other number will be x+2

Now, according to the condition

$x(x + 2) = 4224$

Now, we will solve the equation

$x(x + 2) = 4224 \\ {x}^{2} + 2x - 4224 = 0$

By solving this quadratic equation

We get two values of x, -66 and 64

So, when we consider x= 64

then,

$64 \times 66 = 4224$

Therefore, the smaller number will be 4224.