Question

# The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of his son . Find the present age of the father.

A
33
B
48
C
29
D
38

Solution

## The correct option is A $$33$$Let the present age of father is x years and son is y yearsThen according to the question$$x-3y=3$$.............(i)After 3 years$$(x+3)-2(y+3)=10$$$$x+3-2y-6=10$$$$x-2y=13$$...........(ii)Subtracting eq(i)and eq(ii)$$y=10$$Putting y=10 in eq(i)$$x-3\times 10=3$$$$x=33$$Hence Father present age is 33 years.Maths

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