Question

The sum of 6 consecutive even numbers is 393 What is the second number in this sequence?

Answer 1

The only possibility is with 6 consecutive integers

The second number is 64

63+64+65+66+67 = 393

n+ n+1 + n+2 + n+3 + n+4 + n+5 = 393

6n+ 15 =393

6n = 378

n=63

Answer 2

Second Number 62.5
Remark
If all you want to know is the second number, you could employ a trick by calling the second number x. Then you just solve for x.

Givens
Sum of 6 even numbers = 393 This will not give a whole number result.

First number = x - 2
Second number = x
Third number = x + 2
Fourth number = x + 4
Fifth number = x + 6
Sixth number = x + 8

Set up the equation and solve
x - 2 + x + x + 2 + x + 4 + x +6 + x + 8 = 393 Put all the like terms together.
x + x + x + x + x + x -2 + 2 + 4 + 6 + 8 = 393
6x + 18 = 393 Subtract 18 from both sides.
6x = 393 - 18
6x = 375 Divide by 6
x = 375 / 6
x = 62.5

The second number is 62.5 <<<<< Answer