The average age of 16 students of a class is 22 years. If the average age increases by 1 year when 4 more students join the class, then find the average age (in years) of the 4 new students.

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Solution

The correct option is D 27
Sum of the age of 16 students = $16 \times 22$
Sum of the age of 20 students = $20 \times 23$

Let ‘a’ be the average age of the 4 new students.

$16 \times 22 + 4 a = 20 \times 23$

⇒ a = 27 years

Hence, option (D) is the correct answer.

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The average age of 16 students of a class is 22 years. If the average age increases by 1 year when 4 more students join the class, then find the average age (in years) of the 4 new students.

The correct option is D 27Sum of the age of 16 students =16×22 Sum of the age of 20 students =20×23 Let ‘a’ be the average age of the 4 new students. 16×22+4a=20×23 ⇒ a = 27 years Hence, option (D) is the correct answer.

The correct option is D 27
Sum of the age of 16 students = $16 \times 22$
Sum of the age of 20 students = $20 \times 23$

Let ‘a’ be the average age of the 4 new students.

$16 \times 22 + 4 a = 20 \times 23$

⇒ a = 27 years

Hence, option (D) is the correct answer.