In a group of 10 people, the average age is 30 years. If two new members join the group and the average age becomes 32 years, what is the average age of the new members?
Practice Questions
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In a group of 10 people, the average age is 30 years. If two new members join the group and the average age becomes 32 years, what is the average age of the new members?
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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: In a group of 10 people, the average age is 30 years. If two new members join the group and the average age becomes 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 10 people. Since the average age is 30 years, multiply 30 by 10. This gives you 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. This gives you 384 years.
Step 3: Find the total age of the new members by subtracting the total age of the original 10 people from the new total age. So, 384 - 300 equals 84 years.
Step 4: Calculate the average age of the new members. Since there are 2 new members, divide their total age (84 years) by 2. This gives you an average age of 42 years.
