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The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average age is increased by 0.2 years. The average age of the new students is :
  • a)
    15.2 years
  • b)
    16 years
  • c)
    16.2 years
  • d)
    16.4 years
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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The average age of 40 students of a class is 15 years. When 10 new stu...
Given data:
- Average age of 40 students in a class = 15 years
- 10 new students are admitted
- Average age increases by 0.2 years

To find: Average age of new students

Solution:
Let the sum of ages of 40 students be S1 and the sum of ages of 10 new students be S2.
We know that average age is given by (sum of ages)/(number of people).
So, we can write two equations using the given data:

Equation 1: S1/40 = 15 (since average age of 40 students is 15 years)
S1 = 600 (multiplying both sides by 40)

Equation 2: (S1+S2)/50 = 15.2 (since average age increases by 0.2 years when 10 new students are added)
S1+S2 = 760 (multiplying both sides by 50)

Substituting Equation 1 in Equation 2:
600+S2 = 760
S2 = 160

So, the sum of ages of 10 new students is 160 years.
To find the average age of new students, we divide the sum by the number of new students:
Average age of new students = S2/10 = 16 years

Therefore, the average age of new students is 16 years (option B is correct).
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The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average age is increased by 0.2 years. The average age of the new students is :a)15.2 yearsb)16 yearsc)16.2 yearsd)16.4 yearse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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