Question

the sum of three consecutive even natural numbers is 78 find the greatest of these numbers

Answer 1

In any event, this sum must be even, so 3 consecutive even integers would be n, n+2 & n+4 whose sum is 3n + 6.

Set that to either 78 or 7878, whichever is intended, & solve for n.   If 78 is their grand total, then those 3 consecutive even numbers have to be 24, 26 & 28.

Answer 2

Here's your answer..
____________________

Let ,
The first even number be x

The second even number be(x+2)

The third even number be (x+2)+2

Sum of three consecutive even numbers is 78

A/q

x + (x+2) + [(x+2)+2 = 78

x+x+x+2+2+2=78

3x + 6 = 78
3x = 78–6
3X= 72
X=24

The 3 consecutive number would be:-

The first even number => x = 24

The second even number =>(x+2) =24+2=26

The third even number => (x+2)+2=24+4=28

The largest amongst them is 28

Hope it helps you