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 6 of 7.

Eric said:   1 decade ago
When already the avg ages of grandparents, parents and children are given! why they have been multiplied by 2, 2 and 3 respectively?

Moreshwar pidadi said:   1 decade ago
No because in question it is givven an avarage an no. Of person so answer seams to be correct an each age is being taken out.

Sanjana said:   1 decade ago
It's remainder.

While we perform 222/7 quotent will be 31 nd remainder would be 5.

Tamilazhagan said:   1 decade ago
I think total members are 11. Because parent = mother and father. So 2 parents is equal for 2 mother and 2 father. Then grand parents are also 2 grand mother and 2 grand father. So total members are 11.

Masterneeji said:   1 decade ago
@Tamilazhagan.

Parent means either mummy or daddy.

Parents means couple so we (67*2+35*2+6*3)/2+2+3 = 222/7 = 31 5/7.

Adithya said:   1 decade ago
@Shubham Sanware.

It is the mixed fraction of 222/7. When you divide 222 with 7 we get 31 as quotient and remainder 5.

Mixed fraction = quotient remainder/divisor.

So, its 31 5/7.

Shubham sanware said:   1 decade ago
Can you explain 31 5/7 with formula ?

Kraminka said:   1 decade ago
Average = Sum of total ages/No of person.

Average = 67*2+35*2+6*3/2+2+3.

= 134+70+18/7 = 222/7 = 31 5/7.

Dhivya R said:   1 decade ago
Your calculation wrong @Mr.Siva.

Because the given question is 2 grandparents, 2 parents, 3 grandchildren.

Average age of grandparents is 67. So age of two grandparents is 67*2 = 134. Average age of parents is 35. So age of two parents is 35*2 = 70. Average age of three grandchildren is 6. So age of three grandchildren is 6*3 = 18.

Average = Sum of observation/Number of observation.

Average = 134+70+18/2+2+3.

Average = 222/7.

We convert ordinary fraction into mixed fraction.

So finally we get average = 31 5/7.

Siva Subramania Krishnan S said:   1 decade ago
I have a question see they have given average age of parents is 35 but they didn't which parents, so grandparents are parents of the existing two parents rite.

Therefore there are totally 4 parents and the total age of parents should be (35*4) not (35*2) and the answer is none of the above.

My answer is 40 2/7.


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