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The average age of a group of 5 people is 30 years. If a new person joins the gr

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Question: The average age of a group of 5 people is 30 years. If a new person joins the group, making the average age 32 years, what is the age of the new person?

Options:

  1. 35
  2. 40
  3. 45
  4. 50

Correct Answer: 40

Solution: 

Total age of 5 people = 5 * 30 = 150. New total age = 6 * 32 = 192. Age of new person = 192 - 150 = 42.

The average age of a group of 5 people is 30 years. If a new person joins the gr

Practice Questions

Q1
The average age of a group of 5 people is 30 years. If a new person joins the group, making the average age 32 years, what is the age of the new person?
  1. 35
  2. 40
  3. 45
  4. 50

Questions & Step-by-Step Solutions

The average age of a group of 5 people is 30 years. If a new person joins the group, making the average age 32 years, what is the age of the new person?
Correct Answer: 42
  • Step 1: Calculate the total age of the original group of 5 people. Since the average age is 30 years, multiply 30 by 5 (the number of people). This gives you 150 years.
  • Step 2: Calculate the new total age when a new person joins. The new average age is 32 years for 6 people, so multiply 32 by 6. This gives you 192 years.
  • Step 3: Find the age of the new person by subtracting the total age of the original group (150 years) from the new total age (192 years). So, 192 - 150 equals 42 years.
  • Step 4: Conclude that the age of the new person is 42 years.
  • Average Calculation – Understanding how to calculate the average age and how it changes with the addition of a new member.
  • Total Age Calculation – Calculating the total age of a group based on the average and the number of individuals.
  • Change in Average – Recognizing how the average age shifts when a new individual is added to the group.
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