SOLUTION: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. How younger is the new member than the

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. How younger is the new member than the      Log On


   

Question 1086953: The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.
How younger is the new member than the older
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member.
How younger is the new member than the older
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A = avg 4 years ago
A = (9*m + M)/10 --- M = age of the member replaced, m = avg of the other 9
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A = (9*(m+4) + N)/10 --- N = age of new member
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A = (9*m + M)/10 = (9*(m+4) + N)/10
(9*m + M)/10 = (9*(m+4) + N)/10
9*m + M = 9*(m+4) + N
9*m + M = 9*m + 36 + N
M = 36 + N
N = M - 36
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He's 36 years younger