The average age of a group of 10 people is 30 years. If two new members join the group, increasing the average age to 32 years, what is the average age of the new members?
Practice Questions
1 question
Q1
The average age of a group of 10 people is 30 years. If two new members join the group, increasing the average age to 32 years, what is the average age of the new members?
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42
Total age of 10 people = 10 * 30 = 300. New total age = 12 * 32 = 384. Age of new members = 384 - 300 = 84. Average age of new members = 84 / 2 = 42.
Questions & Step-by-step Solutions
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Q
Q: The average age of a group of 10 people is 30 years. If two new members join the group, increasing the average age to 32 years, what is the average age of the new members?
Solution: Total age of 10 people = 10 * 30 = 300. New total age = 12 * 32 = 384. Age of new members = 384 - 300 = 84. Average age of new members = 84 / 2 = 42.
Steps: 4
Step 1: Calculate the total age of the original group of 10 people. Since the average age is 30 years, multiply 30 by 10. Total age = 30 * 10 = 300 years.
Step 2: Calculate the new total age after 2 new members join. The new average age is 32 years for 12 people. Multiply 32 by 12. New total age = 32 * 12 = 384 years.
Step 3: Find the total age of the new members by subtracting the original total age from the new total age. Age of new members = 384 - 300 = 84 years.
Step 4: Calculate the average age of the new members. Since there are 2 new members, divide their total age by 2. Average age of new members = 84 / 2 = 42 years.
