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The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
- a)32 years
- b)49 years
- c)50 years
- d)46 years
- e)None
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average age of a group of 10 students was 20. The average age incr...
The average age of a group of 10 students = 20 years
Sum of the ages of these 10 students = 10 * 20 = 200 years.
when 2 new students joined the average age is increased by = 2 years
Hence the average age becomes 22 years and total students become 12.
Therefore, the sum of the ages of the 12 students = 12 * 22 = 264 years
So, the difference between the sum of the ages of 12 students and 10 students = 264 - 200 = 64 years.
Sum of the ages of the 2 new students = 64 years.
Average age of the 2 new students = 64/2
= 32 years.
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The average age of a group of 10 students was 20. The average age incr...
Total age of 10 students = 10×20 = 200
total age of 12 students = 12× 22 = 264
average age of 2 new students = 264-200 = 64
64÷2 = 32
correct answer A
total age of 12 students = 12× 22 = 264
average age of 2 new students = 264-200 = 64
64÷2 = 32
correct answer A
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The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?a)32 yearsb)49 yearsc)50 yearsd)46 yearse)NoneCorrect answer is option 'A'. Can you explain this answer?
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