Question

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

Answer 1

let 6 consecutive even numbers be ,

given sum of 6 consecutive even numbers is 270

hence,

x+x+2+x+4+x+6+ x+8+x+10=270

6x+30=270

6x=270-30

6x=240

x=240/6

x=40

therefore , 6 even consecutive no are 40,42,44,46,48.50

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Answer 2

Given:

• The sum of 6 consecutive even numbers is 270.

To Find:

• What is the second number in this sequence?

Solution:

Let's assume 6 consecutive even numbers are ,

                $x, x+2, x+4, x+6, x+8, x+10$

According to the question

      ⇒ $x+x+2+x+4+x+6+ x+8+x+10=270$

      ⇒    $6x+30=270$

      ⇒   $6x=270-30$

      ⇒    $6x=240$

      ⇒      $x=\frac{240}{6}$

      ⇒       $x=40$

Therefore , 6 even consecutive numbers are

         ⇒      $40, 40+2, 40+4, 40+6, 40+8, 40+10$

         ⇒      $40,42,44,46,48.50$

Thus, The second number in this sequence is 42