The sum of 6 consecutive even numbers is 126.what is the fourth number in this sequence

fourth number in this sequence is 22.

Step-by-step explanation:

Given  : The sum of 6 consecutive even numbers is 126.

To find : .what is the fourth number in this sequence.

Solution : We have given

sum of 6 consecutive even numbers is 126.

Let the 6 consecutive even numbers are = x , x +2 , x + 4 , x + 6 ,x + 8 , x + 10

According to question

Sum of all 6 numbers

x + x +2 + x + 4 + x + 6 + x + 8 + x + 10 =  126 .

On adding like terms

6x + 30 = 126 .

On subtracting both sides by 30.

6x = 126 -30 .

6x = 96.

On dividing both sides by 6

x = 16 .

Then fourth number is x + 6

16 + 6 = 22,

Therefore, fourth number in this sequence is 22.

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