Anita has two sisters and three brothers. The mean of

Warren Leach

Warren Leach

Answered question

2022-06-03

Anita has two sisters and three brothers. The mean of all their ages is 6 years. What will their mean age be 10 years from now? Twenty years from now?

Answer & Explanation

Ramiro Frye

Ramiro Frye

Beginner2022-06-04Added 5 answers

Right now, their ages are: { a 1 , a 2 , . . . , a N } with mean age:
a ¯ = 1 N a i N
In n years time, ages will be: { a 1 + n , a 2 + n . . . a N + n}, with mean age :
a ¯ n = 1 N ( a i + n ) N = 1 N ( a i ) + ( N n ) N
= 1 N ( a i ) N + n = a ¯ + n
IOW, a ¯ n = a ¯ + n, or:
10 years from now, ave age will be 16
20 years from now, ave age will be 26

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