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?
Practice Questions
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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?
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Total age of 5 people = 5 * 30 = 150. New total age = 6 * 32 = 192. Age of new person = 192 - 150 = 42.
Questions & Step-by-step Solutions
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Q
Q: 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?
Solution: Total age of 5 people = 5 * 30 = 150. New total age = 6 * 32 = 192. Age of new person = 192 - 150 = 42.
Steps: 4
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.
