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. $38$

Answer 1

The correct option is A $33$

Let the present age of father is x years and son is y years

Then 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.