The average of 5 consecutive integer is 12, What will be the average of the only even number among those five?
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Let x be the first integer. Then the integers in order are x , x + 1 , x + 2 , x + 3 and x + 4 . Then we have
5 x + x + 1 + x + 2 + x + 3 + x + 4 = 1 2
5 x + 1 0 = 6 0
5 x = 5 0
x = 1 0
The integers are 1 0 , 1 1 , 1 2 , 1 3 and 1 4 .
The average of the even integers is 3 1 0 + 1 2 + 1 4 = 3 3 6 = 1 2 .