Question

Can you find three consecutive even numbers that total 85,008 when multiplied together?

Answer 1

So here is your answer -
The numbers are 42, 44 and 46 ....
42*44*46 = 1848*46 = 85008.
Hope it helps...!

Answer 2

Answer:

The three consecutive even numbers are 42,44,46.

Step-by-step explanation:

To find : Can you find three consecutive even numbers that total 85,008 when multiplied together?

Solution :

Let the three consecutive even numbers are 2x-2,2x,2x+2.

According to question,

Product of three even consecutive numbers is 85,008.

So, $(2x-2)(2x)(2x+2)=85008$

$((2x)^2-2^2)(2x)=85008$

$(4x^2-4)(2x)=85008$

$8x^3-8x=85008$

$8x^3-8x-85008=0$

Graphically we can find the point of x which satisfy the equation.

Refer the attached figure below.

The value of x=22.

So, $2x=2\times 22=44$

$2x-2=2\times 22-2=44-2=42$

$2x+2=2\times 22+2=44+2=46$

Therefore, The three consecutive even numbers are 42,44,46.