Question : The average of three numbers of which the greatest is 16 is 12. If the smallest is half of the greatest, the remaining number is:
Option 1: 12
Option 2: 8
Option 3: 14
Option 4: 10
Correct Answer: 12
Solution :
The greatest number = 16
The smallest number = half of the greatest number = $\frac{16}{2} = 8$
Let the third number be $z$.
Average = $\frac{\text{Sum of all the observations}}{{\text{Total number of observations}}}$
$⇒\frac{16+8+z}{3}=12$
$⇒24+z=36$
$\therefore z =12$
Hence, the correct answer is 12.
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