SOLUTION: A father's age is thirteen times that of his son. In 10 years, the son's age will be one-third of his father's. How old are the father and son?

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Question 1: A father's age is thirteen times that of his son. In 10 years, the son's age will be one-third of his father's. How old are the father and son?
Found 4 solutions by ichudov, lashae_dee, RoRo3940, xxkiana2340xx:
Answer by ichudov(499)   (Show Source):
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It is easy, just write the problem in slightly more mathematical manner:
father's age = 13 * son's age
son's age + 10 = (father's age + 10 )/3
Because we know that father's age is 13* son's age, we have
son's age + 10 = (13*son's age + 10)/3
or
3*(son's age + 10) = (13*son's age + 10)
or
3*son's age + 30 = 13*son's age + 10
20 = 10 * son's age
ANSWER:
son's age = 2
father's age = 13*2 = 26.

Answer by lashae_dee(2)   (Show Source):
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that is completely right......the son is 2 years old.......the father is 26 years old

Answer by RoRo3940(2)   (Show Source):
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father's age = 13 * son's age
son's age + 10 = (father's age + 10 )/3
Because we know that father's age is 13* son's age, we have
son's age + 10 = (13*son's age + 10)/3
or
3*(son's age + 10) = (13*son's age + 10)
or
3*son's age + 30 = 13*son's age + 10
20 = 10 * son's age
ANSWER:
son's age = 2
father's age = 13*2 = 26.

Answer by xxkiana2340xx(3)   (Show Source):
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13*2 = 26