Question 522397: The ages of a man and his son add up to 39years.In 3 years the man will b 4 times as old as his son.Find the ages of the man and his son. Found 2 solutions by oberobic, richwmiller:Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! x = man's age now
y = son's age now
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x + y = 39
so
x = 39-y
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In three years:
x+3 = man's future age
y+3 = son's future age
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The man's age will be 4 times his son's age:
(x+3) = 4(y+3)
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Substitute
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(39-y+3) = 4(y+3)
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Solve
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42-y = 4y + 12
30-y = 4y
30 = 5y
5y = 30
y = 6
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x+y = 39
x + 6 = 39
x = 33
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Check: In three years, will the man's age be 4 times the son's age?
x+3 = 36
y+3 = 9
x+3 = 4(y+3)
Correct.
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Answer: The man is 33, and the son is 6.
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Done.
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