The present age of Deepak is 3 time the present age of his son. Five years hence, the ratio of their ages will be 34 :13 respectively. The present age of Deepak is :

Let us assume the present age of son be x then present of Deepak be 3x.
Five years hence, the ratio of their ages will be 34 : 13 respectively.
then according to question,
(3x + 5)/(x + 5) = 34/13
⇒ (3x + 5) 13 = 34 (x + 5)
⇒ 39x + 65 = 34x + 170
⇒ 5x = 105
∴ x = 21
Hence, present age of Deepak = 3x = 3 x 21 = 63