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 8 solutions by ichudov, lashae_dee, RoRo3940, xxkiana2340xx, skvijai, MathTherapy, neetu, nishantxumar:
Answer by ichudov(507) About Me  (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) About Me  (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) About Me  (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) About Me  (Show Source):
Answer by skvijai(1) About Me  (Show Source):
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father's age= 36
Son's Age = 12

Answer by MathTherapy(10552) About Me  (Show Source):
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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?

Father's current age: highlight_green%2826%29
Son's current age: highlight_green%282%29

Answer by neetu(2) About Me  (Show Source):
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Father is 26 and son is 2 years old.

Answer by nishantxumar(3) About Me  (Show Source):
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assuming son's age to be x years
father's age becomes 13x
acc to question
13x +10 = 3(x +10)
solving this we get x = 2
son's age 2yr
father's age 26yr