The age of father 10 years ago was thrice the age of his son. ten years hence, father's age will be twice that of his son. what is the ratio of their present ages?
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Let the age of Father and son be x and 3x years respectively.
After Ten years,
Age of father = x + 10 years
Age of son = 3x + 10
According to Question now,
(3x + 10) + 10 = 2(x + 10) + 10
3x + 20 = 2(x + 20)
3x + 20 = 2x + 40
3x - 2x = 40 - 20
x = 20 years.
Therefore, Required ratio :
(3x + 10) : (x + 10)
3(20) + 10 : 20 + 10
60 + 10 : 30
70 : 30
7 : 3
Therefore, the required ratio is 7:3.
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