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 3 of 7.

Surendra said:   1 decade ago
We know that answer is 222/7.

Verify the options: all options consist the denominator 7.
We have the numerator 222.

In 222 units place is 2.
For 31 5/7 we have to multiply 31 and 7 and to the result we have to add 5.

In 31x7 the units place is 7(since 1x7=7).
To that 7 we will add 5, the result is 12 in which the units place is 2 which matches with the units place of 222.

For all other options the units place is not 2.

Faizan said:   1 decade ago
Now see, let denote grand parent by gp,

The average age of grandparents is given as 67,
Which means (gp1+gp2)/2 is equal to 67.

Similarly,
(p1+p2)/2 is equal to 35.

Similarly,
(gc1+gc2)/2 is equal to 6.

We are required to find,
(gp1+gp2+p1+p2+gc1+gc2)/7 is ?

So we found numerator by this way as:
67*2+35*2+6*2 = numerator.

Stalin said:   1 decade ago
In this problem mention two grandparents (i.e. two grandfather and two grand mother) then how it come total member in this family is 7?

I think total member is 11 explain me.

Mkr said:   1 decade ago
Question says A family, so I think in a family there will be one grandpa and granny and also there will be only one mom and one dad. So answer is right.

Negi said:   1 decade ago
How do you know they have 3 children. Confused?

Anuj said:   1 decade ago
I wanted to know how it comes from 222/7 to 31 5/7?

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.

Swe said:   1 decade ago
@Tamilazhagan

Yes you are correct that is the correct process and answer is none of these.

Ali said:   1 decade ago
That's current value is not better for this question.

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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