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 ankits age be x
and Nikita age be y
then according to question
x×y=240........(1)
also
2y=x+4
x=2y-4........(2)
u can solve (1) and (2) to get the answer by substitution method

Answer 2

let nikita age be x and ankita's age be y
xy = 240
x = 240/y
2x + 4 = y
2 × 240/y +4 = y
480/y + 4 = y
480 + 4y = y²
y² - 4y - 480 = 0
y² - 24y + 20y - 480 = 0
y (y -24 ) + 20 (y - 24) = 0
(y-24) +(y+20) = 0
y = 24, -20
age cannot be negative
∴ ankita's age = 24 =y
x = 240/y
   = 240/24
   = 10
∴ nikta's age = 10 years