Question

The total age of a group of 20 children is 160 years. If the average age of 8 of the children of the group is 12 years, find the average age of the remaining group.

• A. Syears
• B. 5years and 3months
• C. 5years and 4 months
• D. 5 years and 6months
• E. None of these

Answer 1

The Correct Option is C

The correct answer is option (C):

5years and 4 months

Here's how to solve this problem, breaking it down step-by-step:

1. Find the total age of the 8 children:

* Average age of 8 children = 12 years
* Total age of 8 children = 12 years/child * 8 children = 96 years

2. Find the total age of the remaining children:

* Total age of all 20 children = 160 years
* Total age of the remaining children = 160 years - 96 years = 64 years

3. Find the number of remaining children:

* Total number of children = 20
* Number of remaining children = 20 - 8 = 12 children

4. Find the average age of the remaining children:

* Average age = Total age / Number of children
* Average age = 64 years / 12 children = 5.333... years

5. Convert the decimal part of the years into months:

* 0.333... years * 12 months/year = 4 months

6. State the final answer:

* The average age of the remaining children is 5 years and 4 months.

Therefore, the correct answer is

5 years and 4 months

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