Question

The average age of a twelve-member team is the same as it was 2 years ago, because an old
member has been replaced by a young member of age 25 yrs. What is the age of replaced
member?​

Answer 1

answer

age of replaced member is 49 years

explanation

in 2 years the sum of ages of all members will increase 24 years; each of the 12 members will have 2 extra years with their age. so we must reduce 24 years to have the same average as it was 2 years ago. as new member is 25 so the replaced member should be 49 (25+24)

calculations

increase in sum of age in 2 yrs= 2×12=24

age of new member = 25

total increase in age by addition of new member= 24+25=49

so 49 is replaced ...age