Question

Ex. 3. The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita
is more than Ankit's age by 4 years, what is Nikita's age ?
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Answer 1

let age of Ankit be x

let age of Nikita be y

xy = 240

2y = x+4

2(240/x) = x+4

480/x = x+4

480 = (x+4)x

480 = x^2 + 4x

x^2 + 4x -480 = 0

By splitting the middle term