In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 ∶ 1. The ratio of the number of electronics engineers and computer engineers becomes 1 ∶ 1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers. (A) The average age (in years) of electronics engineers is 21 (B) The average age (in years) of computer engineers is 21 (C) The average age (in years) of electronics engineers is 23 (D) The average age (in years) of electronics engineers is 25 (E) The average age (in years) of computer engineers is 23 Choose the correct answer from the options given below:
In a company there are 252 engineers, in which the ratio of the number of electronics engineers and computer engineers is 2 ∶ 1. The ratio of the number of electronics engineers and computer engineers becomes 1 ∶ 1 after recruitment of some more computer engineers. The average age of all the engineers is now 22 years and the average age of the computer engineers is 2 years less than the average age of electronics engineers. (A) The average age (in years) of electronics engineers is 21 (B) The average age (in years) of computer engineers is 21 (C) The average age (in years) of electronics engineers is 23 (D) The average age (in years) of electronics engineers is 25 (E) The average age (in years) of computer engineers is 23 Choose the correct answer from the options given below: Correct Answer (B) and (C) only
Let the final average age of all the electronics engineers be x years
Total number of engineers = 252
Ratio of the number of electronics engineers and computer engineers, initially = 2 ∶ 1
Hence, initial number of electronics engineers = (2/3) × 252 = 168
Also, initial number of computer engineers = (1/3) × 252 = 84
After adding some computer engineers, new ratio = 1 ∶ 1
So, the number of computer engineers added = 168 – 84 = 84
Now, total number of engineers = 2 × 168 = 336
New average of all the 336 engineers = 22 years
So, we get:
168x + = 336 × 22
⇒ x = 23
Hence, the average age of all the electronics engineers = 23 years, and
Average age of all the computer engineers = 23 – 2 = 21 years
∴ Options (B) and (C) are only correct.