A lad was asked his age by his friend . The lad said, "The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is :

Explanation:-

Option Checking :
Considering option 3,
2 *(14)² - 25*14 = 3*14.

Alternatively :

Let the age of the lad be x then,
2x² -25x = 42.
2x² -25x-42 = 0.
Either solve the quadratic equation or put the options to get the value. Option 3 is correct.