In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?
Practice Questions
1 question
Q1
In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?
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Total age of 6 friends = 6 * 22 = 132. Total age of 5 friends = 5 * 23 = 115. Age of friend who left = 132 - 115 = 17.
Questions & Step-by-step Solutions
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Q
Q: In a group of 6 friends, the average age is 22 years. If one friend leaves and the average age becomes 23 years, what is the age of the friend who left?
Solution: Total age of 6 friends = 6 * 22 = 132. Total age of 5 friends = 5 * 23 = 115. Age of friend who left = 132 - 115 = 17.
Steps: 3
Step 1: Calculate the total age of the 6 friends by multiplying the average age by the number of friends. Total age = 6 friends * 22 years = 132 years.
Step 2: Calculate the total age of the remaining 5 friends after one friend leaves. The new average age is 23 years, so Total age = 5 friends * 23 years = 115 years.
Step 3: Find the age of the friend who left by subtracting the total age of the remaining friends from the total age of the original group. Age of friend who left = 132 years - 115 years = 17 years.
