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The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers?

The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers? Correct Answer 47

Given:

Average of six consecutive odd numbers is 42.

Formula used:

Average = Sum of all numbers/Total number of numbers.

Calculation:

Let the six consecutive odd numbers are x, (x + 2), (x + 4), (x + 6), (x + 8) and (x + 10)

/6 = 42

⇒ 6x + 30 = 252

⇒ 6x = 252 - 30

 ⇒6x = 222

⇒ x = 37

Numbers will be 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57.

Average = (37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57)/11

⇒ 517/11

⇒ 47

∴ Average of all 11 odd numbers is 47.

 

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