Question

the product of ages​ of Ankit and Nikita is 240. if twice the age of Nikita is more than Ankit`s age by 4 years​, then find Nikita`s age?

Answer 1

Let the age of Ankit be x
And the age of Nikita be y

According to question,
Case 1

2y = x + 4

2y - 4 = x

Case2
x × y = 240

(2y - 4)y = 240

2y^2 - 4y - 240 = 0

2y^2 - 24y + 20y - 240 = 0

2y(y - 12) + 20(y - 12) = 0

(2y + 20)(y - 12) = 0

Y = 12

Now
X = 2y - 4 = 2 × 12 - 4 = 20

Answer.
The age of Ankit is 20 years
The age of Nikita is 12 years.