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?

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)   (Show Source): You can put this solution on YOUR website!
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): You can put this solution on YOUR website!
that is completely right......the son is 2 years old.......the father is 26 years old
Answer by RoRo3940(2)   (Show Source): You can put this solution on YOUR website!
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): You can put this solution on YOUR website!
13*2 = 26
Answer by skvijai(1)   (Show Source): You can put this solution on YOUR website!
father's age= 36
Son's Age = 12
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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:
Son's current age:
Answer by neetu(2)   (Show Source): You can put this solution on YOUR website!
Father is 26 and son is 2 years old.
Answer by nishantxumar(3)   (Show Source): You can put this solution on YOUR website!
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
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