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 5 of 7.

Susant said:   10 years ago
Why 222 would became 315? Can someone please explain me?

Sridevi said:   10 years ago
Family = Two grand parents = 2*67 = 134, two parents = 2*35 = 70, three grand children = 3*6 = 18.

After started in 134+70+18. Total members: 222/7 = 31.5/7.

Harini said:   10 years ago
It's a wrong method already average of ages were given how can we count them as 7 members.

Siddhant said:   9 years ago
In question they mention that 2 parents and 2 grandparents, parents mean father and mother both, then why 67 and 35 are multiplied by 2, why not 4. Because there are 2 parents.

Kamal Jeet said:   9 years ago
According to Question : 2 Grandparents mean two members (Grandfather and Grandmother) Not mean to say (2 Grandfather or 2 Grandmother)!

And same follow as two Parents (Dad and Mom).

At Last 2 + 2 + 3 = 7.

I hope you understood.

Pratiksha said:   9 years ago
Can someone tell me that 31.5 is the write answer?

Neha said:   9 years ago
How can you say that grandchildren are three?

Praju said:   9 years ago
@Neha and @Pratiksha.

Average = sum of the given no /total no.

In the given question you have given the average of 2 grandparents, 2parents and 3 grandchildren. Now you have to calculate the average of all family members.

From the average, we can calculate sum of the numbers as;

Average = sum of the given number/total number.
Sum of the given numbers =avg * total number.

Total number = sum of the given number/avg.

From above data, we can calculate sum of numbers

Avg of 2 grandparents = 67.
Total no grandparents = 2.
Sum of the ages of grandparents = ?

According to formula,
Avg = sum of total no/total no.
Sum of total no = avg * total no.
Sum of total no = 67 * 2 = 134.

Sum of ages of two grandparents is 134 likewise,
Sum of 2 parents is = 35 * 2 = 70.
Sum of three grandchildren is = 6 * 3 = 18.

Now we have to calculate all average of the family.
Total no of family members are 7 i.e. 2 grandparent ,2parents, 3grandchildren
2 + 2 + 3 = .

Avg of total family members = sum of the ages of family members/total no of family members.

As we count sum of ages all family members,
(134 + 70 + 18)/7 = 222/7 = 31.6 = 31 5/7.
(3)

Shivu said:   9 years ago
Thank you for all the explanation of the solution.

Shivu said:   9 years ago
Friends, how we write 222/7 into 31*5/7? Please tell me.


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