correct answer is: d) 30 & 65 years

Explanation

Let, Son present age is ‘x’
Then, father present age is =\ \left(95\ -\ x\right)
\therefore 10 years ago, son age was =\left(x\ -\ 10\right)
and, 10 years ago, father age was =\ \left(95\ -\ x\right)\ -\ 10
10 years ago the ratio of their age was 11 : 4
According to the question,
\left(95\ -\ x\right)\ -\ 10\ ∶ \left(x\ -\ 10\right)\ =\ 11\ ∶\ 4
\rightarrow\ \frac{\left(95\ -\ x\right)\ -\ 10}{\left(x\ -\ 10\right)}\ =\ \frac{11}{4}
\rightarrow\ \frac{85\ -\ x}{x\ -\ 10}\ =\ \frac{11}{4}
\rightarrow11\left(x\ -\ 10\right)\ =\ 4\left(85\ -\ x\right) _{[cross multiply]}
\rightarrow\ 11x\ -\ 110\ =\ 340\ -\ 4x
\rightarrow\ 11x\ +\ 4x\ =\ 340\ +\ 110 _{[interchange]}
\rightarrow\ 15x\ =\ 450
\rightarrow\ x\ =\ \frac{450}{15}
\rightarrow\ x\ =\ 30
\therefore Son present age is 30 years.
And, father present age is \left(95\ -\ 30\right) years
=\ 65 years.
Ans: Son present age is 30 years,
Father present age is 65 years.