A family consists of grand parents, parents and three grand children. average age of grand parents i

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A family consists of grand parents, parents and three grand children. The average age of the grand parents is $67\, years,$ that of the parents is $35\, years$ and that of the grand children is $6 \,years.$ What is the average age of the family? (in $years$)

A

$28 \frac{4}{7}$

B

$31 \frac{5}{7}$

C

$32 \frac{1}{7}$

D

$29 \frac{4}{7}$

Solution

Total age of a family $=2 \times 67+2 \times 35+3 \times 6$

$=134+70+18=222$ $years$

$\text { Average age of family }=\frac{222}{7}=31 \frac{5}{7} \text { years }$

Standard 13

Quantitative Aptitude

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