The average of eight successive numbers is 6.5.The average of the smallest and the greatest numbers among them will be :

Let, eight successive numbers is $X , (X+1) , (X+2) , (X+3) , (X+4) , (X+5) , (X+6) , (X+7)$

According to question, ${X+(X+1)+(X+2)+(X+3)+(X+4)+(X+5)+(X+6)+(X+7)}/8 =6.5$

$=> 8x+28 =52$

$=> 8x =24$

$=> X = 3$

Now, eight successive numbers is $3,4,5,6,7,8,9,10$

Smallest number $= 3$

Greatest number $=10$

The average of smallest and greatest number is $(10+3)/2 = 6.5$

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