Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 2)
2.
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. What is the average age of the family?
28  4 years
7
31  5 years
7
32  1 years
7
None of these
Answer: Option
Explanation:
Required average
= 67 x 2 + 35 x 2 + 6 x 3
2 + 2 + 3
= 134 + 70 + 18
7
= 222
7
= 31  5 years.
7

Video Explanation: https://youtu.be/OXLnoItd0MA

Discussion:
69 comments Page 4 of 7.

Spvn said:   8 years ago
Thanks @Rupinderjit.

Grace said:   7 years ago
@Ravisinh Mori, @Banita and @Ankur Mishra.

We must emphasise on the term grandparent. When we are talking about only one person (either mother or father of a grandchild) it is termed as a grandparent.

While we are talking about two people (both mother and father of a grandchild) it is termed as grandparents. Hence 2 is mentioned just to clarify that the question is talking about 2 people.

Because they have used it as a plural with plural.
(1 person=grandparent & 2 person=grandparents).

Bhuwaneshwaran said:   7 years ago
How taking grandchildren has 3? They haven't mentioned count of grandchildren.

Shubham j said:   7 years ago
Thanks for the answer @Rupinderjit.

Ranjani said:   11 months ago
Why is 31 5/7 is come?
Let's divide 31 by 7.

The answer is : Here the remainder 31 and the quotient is 5. So 31.5 and we need to mention the number of members so 7.
That's why the answer is 31.5/7.

Rupinderjit said:   1 decade ago
(grandpa+granny)/2=67=134
(ma+pa)/2=35=70
(rinku+minku+chinku)/3=6=18

Now average age is(total age of all members/no of members) = 222/7(grandpa,granny,ma,pa,chinku,minku,rinku)

Hope it'll help you

Rabindra gouda said:   1 decade ago
Total member of the family is 11. How it 7?

Yatin said:   1 decade ago
Consider, Average age of grandparents is given i.e. avg = 67.

Also number of grandparents = 2.

By definition of average.

Average = total observations of all objects/total no of objects.

Let sum of individual ages of grandparents = X.

In this case,

Substituting in above formula,

67 = X/2.

Hence, X = 67x2.

And rest is average concept.

Thanks :).

Naani said:   1 decade ago
It's so simple.

A = S/N.

S = A*N.

Total Sum = (2*67)+(2*35)+(3*6) = 222.

Number of people in that family = 2+2+3 = 7.

So Average=Total Sum/Num of people.

A = 222/7.

A = 31 5/7. ((7*31)+5 =222/7).

Krishna said:   1 decade ago
@Eric: The numbers are not equal, grandparents are 2, parents are also 2 but children are 3. so don't take avg figure.

Grand parents avg age of 2 = 67, but 2 people are there so 67*2.
Parents avg age of 2 = 35, 2 people are two so 35+35 or 35*2.
Children are 3 avg age = 6, people are three so 6+6+6 or 6*3.

If in the question if he said children also two then you can take avg directly.


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