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Question:
The sum of ages of father and his son is 60 years . After14years,fathers age will be three times age of son .find their present ages
Answer:

Given, the sum of ages of father and his son is 60 years 

Let present age of son = x

So, present age of father = 60 - x

After 14 years,

Age of son = x + 14

and age of father = 60 - x + 14 = (60 + 14) - x = 74 - x

 

Given, After 14 years, the age of father will be three times age of son 

=> 74 - x = 3(x + 14)

=> 74 - x = 3x + 3 * 14

=> 74 - x = 3x + 42

=> 74 - x - 42 = 3x

=> 74 - 42 = 3x + x

=> 4x = 32

=> x = 3/4

=> x = 8

So, present age of son = x = 8 years

and present age of father = 60 - x = 60 - 8 = 52 years

 

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