# 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?

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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?

**A**

## 11

**B**

## 12

**C**

## 13

**D**

## 14

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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

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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

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

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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

**Answer: Option C**

### 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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