【】 The sum of 5 consecutive even numbers is 310 . What is the third number in this sequence?

Solution:

We need to find out the third 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 , fourth and fifth consecutive even number will be x+4 , x +6 and x+ 8 respectively.

Have a look here.

The five consecutive even numbers are x, x+2,x+4 , x+6 and x +8 respectively.

Step-3:

According to the conditions,the sum of 5 consecutive even number will be 310.

So, we are getting the following equation

x + x+2+x+4 +x+6 +x+8 =310

Or,5x +20 = 310

Or,5x + 20 – 20 = 310 -20[ Deduct 20 from both sides ]

Or, 5x + 0 = 290

Or, 5x = 290

Or, 5x/5 = 290/5

[Divide both sides by 5]

Or, x = 58

Now put the value of x here:

x, x+2,x+4 , x+6, x+8

= 58, 58+2 , 58+4, 58 +6,58+8

=58, 60, 62, 64 , 66

So, the third number of this sequence is 62.

Answer:62

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