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The average of five consecutive even numbers is 8. What is the new average if next two numbers are also included?

The average of five consecutive even numbers is 8. What is the new average if next two numbers are also included? Correct Answer 10

Given:

The average of five consecutive even numbers is 8.

Formula used:

Average = Sum of all terms/Total number of terms

Calculation:

Five consecutive even numbers are x, (x + 2), (x + 4), (x + 6) and (x + 8).

∴ 8 = (x + x + 2 + x + 4 + x + 6 + x + 8)/5

⇒ 5x = 20

⇒ x = 4

So, the numbers are 4, 6, 8, 10, and 12

Now, next two numbers will be 14 and 16

∴ Average = (4 + 6 + 8 + 10 + 12 + 14 + 16)/7 = 10

So, the new average is 10.

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