Question

Father is four times the age of his daughter. If after $5$ years, he would be three times of daughter’s age, then further after $5$ years, how many times he would be of his daughter’s age?

• A. $1.5$
• B. $2$
• C. $2.5$
• D. $3$

Answer 1

The correct option is C $2.5$

Let the daughter's present age be $x$ and father's present age be $4x.$
Then, $4x+5=3(x+5)$
$\Rightarrow x=10$
Hence, present age of daughter is $10$ years and present age of father is $40$ years.
So, after $5+5=10$ years, daughter age would be $20$ years and father’s age would be $50$ years.
Hence, father would be $\frac{50}{20}=2.5$ times of daughter’s age.