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A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. The average age of the family is
Options:
A .  $MF#%32 \dfrac{2}{7}$MF#% years
B .  $MF#%31 \dfrac{5}{7}$MF#% years
C .  $MF#%28\dfrac{1}{7}$MF#% years
D .  $MF#%30 \dfrac{5}{7}$MF#% years
Answer: Option B

Answer : Option B

Explanation :

$MF#%\begin{align}
&\text{Total age of the grandparents = }67 \times 2\\\\
&\text{Total age of the parents = }35 \times 2\\\\
&\text{Total age of the grandchildren = }6 \times 3\\\\
&\text{Average age of the family = }\dfrac{\left(67 \times 2\right) + \left(35 \times 2\right) + \left(6 \times 3\right)}{7}\\\\
&= \dfrac{134+70+18}{7} = \dfrac{222}{7} = 31 \dfrac{5}{7}
\end{align} $MF#%



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