SOLUTION: dave is three times older than Jim, and Jim is half Bill's age. If their average age is 64, what is Jim's age?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: dave is three times older than Jim, and Jim is half Bill's age. If their average age is 64, what is Jim's age?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 255430: dave is three times older than Jim, and Jim is half Bill's age. If their average age is 64, what is Jim's age?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let B = Bill, D = Dave, and J = JIm.
(i) D+=+3J
(ii) J = (1/2)B
(iii) %28B+%2B+D+%2B+J%29%2F3+=+64
From (ii)
(iv) B = 2J.
Subbing (i), (ii) and (iv) into (iii), we get
(v) 2J+%2B+3J+%2B+J+=+192
(vi) 6J+=+192
(vii) J+=+32
This means that B = 64 and D = 96.
Jim = 32.