The present ages of Vishal and Shekhar are in the ratio of 14 : 17. Six years from now, their ages will be in the ratio of 17 : 20. What is Shekhar's present age?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 34 years.
Let, the age of Vishal and Shekhar be 14x and 17x respectively
Six years from now, their ages will be in the ratio of 17 : 20.
So,
⇒ (14x + 6)/(17x + 6) = 17/20
⇒ 20(14x + 6) = 17(17x + 6)
⇒ 280x + 120 = 289x + 102
⇒ 9x = 18
⇒ x = 2
Thus,
The present age of Shekhar = 17x = 34 years