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?

please solve it with an easy solution...i m stuck in this question from many hours...i will mark u as brainliest if u solve it easily..plzz fast​

Answer 1

Answer:

12

Step-by-step explanation:

Let ankits age be x and nikitas be y

xy=240. y=240/x

2y=4+x

2(240/x)=4+ x

480/x=4+x

480=4x +x^2

X^2 +4x- 480=0

x^2 +24x -20x -480=0

x(x+ 24) -20(x + 24)=0

(x-20)(x+24)=0

x=20,-24

so ankits age is 20since age cant be negative

y=240/x=240/20=12

therefore nikitas age is 12

Hope u understood!!!!!!

Answer 2

Given :

• The product of the ages of Ankit and Nikita is 240.

• Twice the age of Nikita is more than Ankit's age by 4 years.

To find :

• Nikita's age =?

Step-by-step explanation :

Let, the age of Ankit's be, x years.

Then, the age of Nikita's be, 240/x years.

According to the question :

➮ 2(240/x) = x + 4

➮ 480/x = x + 4

➮ x² + 4x - 480 = 0

➮ x² + 24x - 20x - 480 = 0

➮ x(x + 24) - 20(x + 24) = 0

➮ (x + 24) (x - 20) = 0

Therefore, We got the value of, x = - 24 Or 20.

Since, age cannot be in negative form so ignore ,-24.

Hence, the value of, x = 20.

Now,

Age of Nikita's = 240/x

Substituting the values, we get,

= 240/20

= 12.

Therefore, Age of Nikita 's = 12 years