Question

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?

Answer 1

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

given,

xy = 240 ...1

and

2y+4 = x

substituting for x in 1

(2y+4)y = 240

2y^2 + 4y -240 = 0 ...2

Divide eqn 2 by 4

y^2 + 2y - 120 =0

y^2 +12y - 10y - 120 = 0

y(y + 12) - 10 (y + 12) = 0

(y - 10) (y+12) = 0

y = 10 or y = -12

(ignore)

So Age of Nikita is y = 10 Years

and Age of Ankit is 240/y = 24 Years

AGE OF NIKITA is 10 YEARS