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# the average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. the original strength of the class was

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## The average age of a class is 40 years. 12 new students with an average age of 32 years join the class, thereby, decreasing the average by 4 years. What is the original strength of the class?

Click here👆to get an answer to your question ✍️ The average age of a class is 40 years. 12 new students with an average age of 32 years join the class, thereby, decreasing the average by 4 years. What is the original strength of the class? Question

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B

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## The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was

The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was Home

The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was

Question

The average age of an adult class is

40 years. 12

new students with an average age of

32

years join the class, thereby decreasing the average by

4

years. The original strength of the class was

A 10 B 12 C 11 D 15 Open in App Solution

The correct option is B

12

Let the original strength of the class be

x .

Sum of ages of the whole class

= ( 40 x ) years Sum of ages of 12 new students = ( 12 × 32 ) = 384 years ∴ 40 x + 384 x + 12 = 36 ⇒ 10 x + 96 x + 12 = 9 ⇒ 10 x + 96 = 9 x + 108 ⇒ x = 12

Hence, the original strength of the class was

12. Suggest Corrections 0 SIMILAR QUESTIONS

Q. The Average age of 20 students in a class is 16 yars.One student whose age is 18 years has left the class. Find out average age of rest of the students.Q. A class has two section in one of which there are 40 students with an average age of 14.5 years. The average of the class is 14.2 years. If there are 32 students in the other section, then its average age isQ. The average age of 40 students of a class is 15 years. When 10 new students are admitted, the average is increased by 0.2 year. The average age of the new students isQ. The average age of a class of 40 students is 12 years. The average age including the teacher becomes 13 years. How old is the teacher?Q. Q. The average age of 40 students in a class is 18 years. What will be the new average age if we include the age of 10 faculties whose average age is 33 years?

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## The average age of an adult class is 40 years 12

The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was- a) 10 b) 11 c) 12 d) 15

Examveda

## The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, thereby decreasing the average by 4 years. The original strength of the class was-

A. 10 B. 11 C. 12 D. 15

### Solution(By Examveda Team)

Let the original strength of the class be x

Sum of ages of the whole class = 40x years

Sum of ages of 12 now students

= (12 × 32) years = 384 years ∴ 40x+384 x+12 40x+384x+12 = 36

⇒ 40x + 384 = 36x + 432

⇒ 4x = 48 ⇒ x = 12

Hence, the original strength of the class = 12

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Mohammed 18 day ago

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