SOLUTION: Jay's father is twice as old as Jay. In 20 years Jay will be 2/3 as old as his father. How old is Jay and his father now?

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Question 378029: Jay's father is twice as old as Jay. In 20 years Jay will be 2/3 as old as his father. How old is Jay and his father now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let f = Father's age now
Let j = Jay's age now
given:
f+=+2j
j+%2B+20+=+%282%2F3%29%2A%28f+%2B+20%29
--------------------
By substitution:
j+%2B+20+=+%282%2F3%29%2A%282j+%2B+20%29
j+%2B+20+=+%284%2F3%29%2Aj+%2B+40%2F3
Multiply both sides by 3
3j+%2B+60+=+4j+%2B+40
j+=+20
and
f+=+2j
f+=+40
Jay is 20 and his Father is 40