Question

The sum of 6 consecutive even numbers is 270. What is the second number in this sequence?

Answer 1

x + x +2 + x + 4 + x + 6 + x + 8 + x+ 10 = 270
6x + 30= 270
6x = 240
x = 40

all numbers are 40,42,44,46,48,50
second number = 40 + 42 = 42

Answer 2

Hello! 

Let's take a look at this problem... okay so it tells us we have six consecutive even numbers...  *** this means that there are six even numbers that come after each other in order ***   ( for example:   2, 4, 6, 8...)   

since we don't know these numbers let's start off by giving them variable values....

x = 1st number
x + 2 = 2nd number     ---->  I added 2 to x cuz the next even number comes     x + 4 = 3rd number               two spots after
x + 6 = 4th number
x + 8 = 5th number
x + 10 = 6th number

now let's form an equation with all this....

(x) + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 270
6x + 30 = 270
6x = 240
x = 40

Now we plug x into the 2nd number's "equation"....

x + 2 
40 + 2
42                   <-----    That's your answer!

Hope this helps! :D

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