Average Age Calculation

MAT 2018 · Mathematical Skills · Easy · Averages

In a group of 7 people, the average age is found to be 17 years. Two more people joined with an average age 19 years. One person left the group whose age was 25 years. What is the new average age of the group?

  1. A.

    17.5 years

  2. B.

    16.5 years

  3. C.

    18 years

  4. D.

    16 years

Answer

D

Explanation

Initial total age = 7×17=1197 \times 17 = 119. Total age after 2 people join = 119+(2×19)=119+38=157119 + (2 \times 19) = 119 + 38 = 157. Total age after 1 person leaves = 157−25=132157 - 25 = 132. New number of people = 7+2−1=87 + 2 - 1 = 8. New average age = 1328=16.5\frac{132}{8} = 16.5 years.

Related Averages questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace