The sum of 3 consecutive even numbers is 78. What is the second number in this sequence?

Solution:

We need to find out the second number  from  consecutive even number sequence.

 

                      Step-1:

We have to have knowledge about even number . If you divide a even number by 2 ,you will get a remainder of 0.

Now you have to understand about consecutive even number.The difference between two consecutive even number  is always 2.

 

 

                Step-2:

Say,the first even number is x.

So, the second even number will be x+ 2. Thus, the third consecutive even number will be x+4 .

Have a look here.

The three consecutive even numbers are x, x+2,x+4 ,respectively.

 

                     Step-3:

According to the conditions,the sum of 3 consecutive even numbers will be 78.

 

So, we are getting the following equation

 

x +( x+2)+(x+4)  = 78

Or, 3x + 6 = 78

Or,3x + 6 – 6 = 78 - 6 [ Deduct 6 from both sides ]

Or, 3x + 0 = 72

Or, 3x = 72

Or, 3x/3 = 72/3

[Divide both sides by 3]

Or, x = 24

Now put the value of x here:

x, x+2,x+4 

= 24, 24+2 , 24+4

=24,    26,    28   

So, the second number of this sequence is 26.

Answer:26

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