SOLUTION: Jenson's Age, reduced by its 1/4 and 1/5, is 22 years,and his age is 4/5 of his Uncle's age : What is Jenson's age and his Uncle's age?

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Question 184011: Jenson's Age, reduced by its 1/4 and 1/5, is 22 years,and his age is 4/5 of his Uncle's age : What is Jenson's age and his Uncle's age?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let j= Jenson's age
Let u= his Uncle's age
given:
(1) j+-+%281%2F4%29%2Aj+-+%281%2F5%29%2Aj+=+22
(2) j+=+%284%2F5%29%2Au
----------------------
(1) j+-+%281%2F4%29%2Aj+-+%281%2F5%29%2Aj+=+22
Multiply both sides by 20
(1) 20j+-+5j+-+4j+=+440
(1) 20j+-+5j+-+4j+=+440
(1) 11j+=+440
(1) j+=+40
and
(2) j+=+%284%2F5%29%2Au
(2) 40+=+%284%2F5%29%2Au
Multiply both sides by 5
(2) 200+=+4u
(2) u+=+50
Jenson is 40 and his Uncle is 50