SSC CPO 2019 PYQ — Question 123

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q123

The average age of 24 students is 15.5 years. The age of the teacher is 24 years more than the average age of all the students and teacher. What is the age (in years) of the teacher?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 40.5

Application

Total age of the students = 24 × 15.5

= 372

Let the age of teacher = x

⇒ (372 + x)/25 = x - 24

⇒ (372 + x) = 25x - 600

⇒ 372 + 600 = 25x - x

⇒ 24x = 972

⇒ x = 40.5

Hence,

Age of teacher = 40.5 years