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The average age of 20 boys in a class is 12 years. 5 new boys are admitted to the class whose average age is 7 years. The average age of all the boys in the class becomes
  • a)
    11 
  • b)
    12.4
  • c)
    12.2                         
  • d)
    12.6
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
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The average age of 20 boys in a class is 12 years. 5 new boys are admi...
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The average age of 20 boys in a class is 12 years. 5 new boys are admi...
Given:
- The average age of 20 boys in a class is 12 years.
- 5 new boys are admitted to the class whose average age is 7 years.

To find: The average age of all the boys in the class.

Solution:
Let's first find the sum of ages of 20 boys in the class using the formula:

Sum of ages of 20 boys = 20 × 12 = 240

Now, let's find the sum of ages of the 5 new boys using the formula:

Sum of ages of 5 new boys = 5 × 7 = 35

The total number of boys in the class after the admission of new boys = 20 + 5 = 25

The sum of ages of all 25 boys in the class = Sum of ages of 20 old boys + Sum of ages of 5 new boys
= 240 + 35
= 275

The average age of all the boys in the class = Sum of ages of all boys / Total number of boys
= 275 / 25
= 11

Therefore, the average age of all the boys in the class is 11 years. Hence, option (a) is the correct answer.
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Community Answer
The average age of 20 boys in a class is 12 years. 5 new boys are admi...
Given:
- Average age of 20 boys = 12 years
- 5 new boys with an average age of 7 years are added to the class

To find:
- New average age of all boys in the class

Solution:

Step 1: Find the sum of ages of the 20 boys
- Sum of ages of 20 boys = 20 x 12 = 240

Step 2: Find the sum of ages of the 5 new boys
- Sum of ages of 5 new boys = 5 x 7 = 35

Step 3: Find the total sum of ages of all 25 boys
- Total sum of ages of all 25 boys = 240 + 35 = 275

Step 4: Find the new average age of all 25 boys
- New average age of all 25 boys = Total sum of ages of all 25 boys / Total number of boys
- New average age of all 25 boys = 275 / 25 = 11

Therefore, the new average age of all the boys in the class is 11 years.

Hence, option A is the correct answer.
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The average age of 20 boys in a class is 12 years. 5 new boys are admitted to the class whose average age is 7 years. The average age of all the boys in the class becomesa)11b)12.4c)12.2d)12.6e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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