Question

The sum of three consecutive even numbers is always divisible by

Answer 1

x,x+2,x+4 are the 3 consecutive even numbers

Then ,

their sum is (x)+(x+2)+(x+4)

=3x+6

=3(x+2)

Therefore the sum of the 3 consecutive even
numbers is always divisible by 3

PLZ mark me as brainliest

Answer 2

Given:

Three consecutive even number

To Find:

The Sum of three consecutive even numbers is divisible by which number?

Solution:

Let's take the three even consecutive numbers as 2x, 2x+2,2x+4

Now,

Adding 2x, 2x+2,2x+4 we get

(2x+2x+2+2x+4) = 6x+6

(2x+2x+2+2x+4) = 6×(x+1)

Hence, the sum of three consecutive even numbers is always divisible by 6.