Question

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?

Answer 1

x- ankit

y-nikita

XY=240

x(x+4)=240

$x {}^{2} + 4x - 240 = 0$

Answer 2

Answer:

Step-by-step explanation:

Given :-

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.

To Find :-

Nikita's age.

Solution :-

Let Ankit's age be x years.  

Then, Nikita's age = 240/x years.  

⇒ 2 x (240 /x ) – x = 4  

⇒ 480 – x² = 4x  

⇒ x² + 4x – 480 = 0  

⇒ ( x+24)(x-20) = 0  

⇒ x = 20.  

Hence, Nikita's age = (22-10) years = 12 years.