SOLUTION: [ Five years ago Max was one third as old as his father. In 25 years he will be three fifths as old as his father. Find their ages now. ]

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Question 819579: [ Five years ago Max was one third as old as his father. In 25 years he will be three fifths as old as his father. Find their ages now. ]
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
m - 5 = (1/3)(f - 5)
m = (1/3)(f - 5) + 5
m = (1/3)f - (5/3) + (15/3)
m = (1/3)f + (10/3)
m + 25 = (3/5)(f + 25)
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m + 25 = (3/5)(f + 25)
m + 25 = (3/5)f + 15
(1/3)f + (10/3) + 25 = (3/5)f + 15
(10/3) + 10 = (3/5)f - (1/3)f
(10/3) + (30/3) = (9/15)f - (5/15)f
(40/3) = (4/15)f
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f = (40/3)(15/4)
f = (10)(5)
f = 50
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m = (1/3)(f - 5) + 5
m = (1/3)(50 - 5) + 5
m = (1/3)(45) + 5
m = 15 + 5
m = 20
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answer:
m = 20
f = 50
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