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The average age of the boys in a class of 20 boys is 15.6 years. What will be the average age if 5 new boys come whose average is 15.4 years?
  • a)
    15.56 yrs
  • b)
    15.65 yrs
  • c)
    18 yrs
  • d)
    16.56 yrs
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The average age of the boys in a class of 20 boys is 15.6 years. What ...
We have, Average age = Sum of all ages/No. of persons
∴ 15.6 = Sum of 20 boys ages/ 20
⇒ Sum of ages of 20 boys = 20 × 15.6 = 312
After 5 new boys come, total boys = 20 + 5 = 25
Sum of ages of 5 new boys = 15.4 × 5 = 77
Sum of 25 boys ages = 312 + 77 = 389
Overall average = 389/25 = 15.56 yrs.
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Most Upvoted Answer
The average age of the boys in a class of 20 boys is 15.6 years. What ...
Given information:
- Number of boys in the class = 20
- Average age of the boys in the class = 15.6 years

To find:
- Average age if 5 new boys join the class, with an average age of 15.4 years.

Let's solve this step by step:

Step 1: Find the sum of the ages of the existing boys.
- Average age = Sum of ages of all boys / Total number of boys
- Sum of ages of all boys = Average age * Total number of boys
- Sum of ages of all boys = 15.6 * 20 = 312 years

Step 2: Find the sum of ages of the new boys.
- Average age of the new boys = 15.4 years
- Sum of ages of the new boys = Average age of the new boys * Number of new boys
- Sum of ages of the new boys = 15.4 * 5 = 77 years

Step 3: Find the total sum of ages after the new boys join.
- Total sum of ages = Sum of ages of existing boys + Sum of ages of new boys
- Total sum of ages = 312 + 77 = 389 years

Step 4: Find the new average age.
- New average age = Total sum of ages / Total number of boys
- New average age = 389 / (20 + 5) = 389 / 25 = 15.56 years

Therefore, the average age of the boys after the new boys join is 15.56 years.
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The average age of the boys in a class of 20 boys is 15.6 years. What will be the average age if 5 new boys come whose average is 15.4 years?a)15.56 yrsb)15.65 yrsc)18 yrsd)16.56 yrsCorrect answer is option 'A'. Can you explain this answer?
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