Question
In a group of 10 members, two individuals are 20 and 30
years old. Excluding these two, the average age of the remaining members increases by 1 year. Determine the average age of the entire group.Solution
ATQ, Average age of all members be 'z' years. Total age for all members is 10z. Age sum for the two excluded members is 20+30=50. Remaining members' total age 10z−50. New average for 8 members z+1. Equation: 10z−50=8(z+1) Solve: 10z−8z=50+8 ⇒2z=58 ⇒z=29
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