SOLUTION: John is 5 years more than six times older than Jude. The sum of their ages is 33. Find their ages.

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Question 1030922: John is 5 years more than six times older than Jude. The sum of their ages is 33. Find their ages.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the ages of John and Jude, j and d. Then we write
j = 5 + 6d and
j + d = 33
Now substitute the first one into the second...we get
(5+6d) + d = 33
5 + 7d = 33
7d = 28
d = 4 (Jude)
which means
j = 29 (John)