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:
70 comments Page 4 of 7.

Ramesh said:   1 decade ago
How the 5 is coming? Can anyone explain what is remainder?

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.

Bergadid said:   1 month ago
How 7 came? Please explain.

Banita said:   1 decade ago
I have the same concern of 11 memebers as parents includes 2 people, which Ankur mishra explained, please help me out!

RASHMI PODDAR said:   1 decade ago
Parents are grandparents means 2 people then 2 grandparents are parents means 4 nd 4 people respectively then how its here only 2 people for grandparents and parents?

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).


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