# a family consists of two grandparents, two parents and three grandchildren. the average age of the grandparents is 70 years, that of the parents is 35 years and that of the grandchildren is 7 years. evaluate average age of the family?

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## 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?

Click here👆to get an answer to your question ✍️ 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?

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## 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?

**A**28

7 4 years

**B**31

7 5 years

**C**32

7 1 years

**D**

## None of these

Easy Open in App Solution Verified by Toppr

Correct option is B)

Required average =(2+2+3 67×2+35×2+6×3 ) =( 7 134+70+18 ) = 7 222 =31 7 5 years.

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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?

[A]. 28 4 years 7 [B]. 31 5 years 7 [C]. 32 1 years 7 [D]. None of these Answer: Option B 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

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Anonymous said: (Oct 7, 2011)

In the answer how 5 comes can someone tell me.

Sanjana said: (Oct 13, 2011)

It's remainder.

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

Moreshwar Pidadi said: (Nov 21, 2011)

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.

Eric said: (Jan 24, 2012)

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

Steffi said: (Feb 27, 2012)

In the answer how 6x3 came?

Swati said: (Mar 6, 2012)

There are 2 grandparents of 67yrs (67*2)

2 parents of 35yrs (35*2)

3 grandchildren of 6yrs (6*3)

average = sum of total ages/no.of persons

67 x 2 + 35 x 2 + 6 x 3 divided by 2 + 2 + 3

=31 5/7

Hope that explains if not plz correct me.

Sarath said: (Mar 13, 2012)

Thank you swathi.

Ankur Mishra said: (May 20, 2012)

As you are mentioning in question that 2 grandparents are there means 4 peoples (Because grandparent consists of 2 Members)and same as in parents 2 parents means 4 person again. Then i hope here total members are 11.

Hope it is correct if not please correct me

Rupinderjit said: (May 30, 2012)

(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

Banita said: (Aug 21, 2012)

I have the same concern of 11 memebers as parents includes 2 people, which Ankur mishra explained, please help me out!

Iqra said: (Nov 29, 2012)

Numbers of children is not mentioned here?

Naina said: (Dec 13, 2012)

Exactly no.of children is not given then how 3 is taken?

H.R said: (Dec 15, 2012)

They are mention three grandchildren observe the problem again.

Krishna said: (Apr 18, 2013)

@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.

Naani said: (Jul 17, 2013)

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).

Yatin said: (Sep 30, 2013)

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 :).

Rabindra Gouda said: (Nov 13, 2013)

Total member of the family is 11. How it 7?

RASHMI PODDAR said: (Dec 2, 2013)

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?

Nilin said: (Feb 15, 2014)

But I wanted to know how it comes from 222/7 to 31 5/7?

Navi said: (Apr 10, 2014)

Sorry I wanted also to know how it comes from 222/7 to 31 5/7?

Surendra said: (Jun 28, 2014)

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: (Jul 4, 2014)

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.

## [Solved] A family consists of two grandparents, two parents and three

Given: The average of grandparents is 67 years The average of parents is 35 years The average of grandchildren is 6 years Formula used: Average = Sum of ob

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## Question

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2847 3157 3217 None of these

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## Detailed Solution

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**Given:**

The average of grandparents is 67 years

The average of parents is 35 years

The average of grandchildren is 6 years

**Formula used:**

Average = Sum of observation/Total number of observation:

**Calculation:**

The total age of Grandparents is

⇒ 67 × 2 = 134

The total age of Parents is

⇒ 35 × 2 = 70

The total age of Grandchildren is

⇒ 6 × 3 = 18

The average of the family is

⇒ (134 + 70 + 18)/7 ⇒ 222/7 years

**∴**

**The average of the family is 222/7 years.**

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