Question 56

The average of 12 consecutive odd numbers is 32. What is the difference between the largest number and the smallest number that are part of the set of 12 consecutive odd numbers mentioned above?

Solution

The average of 12 consecutive odd numbers is 32.

Let's assume the smallest odd number of the given sequence is 'y'.

So the numbers are y, (y+2), (y+4), (y+6), (y+8), (y+10), (y+12), (y+14), (y+16), (y+18), (y+20) and (y+22).

Difference between the largest number and the smallest number that are part of the set of 12 consecutive odd numbers mentioned above = (y+22)-y

= 22

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