Math, asked by shrug138, 23 days ago

Nikita is elder to Ankita. If G.C.D. of the
ages is 3 and ratio of their ages is 4:5, tha
Nikita is elder to Ankita by how many yeu
?
~ 5 years
@ 3 years
O 6 years
3 4 years​

Answers

Answered by SandySanjeet
3

Answer:

Assume age of ankit = x

Assume age of Nikita = y

Given that, product of ages = 240

∴ x * y = 240 …………………………………………….. (Equation 1)

Next condition is that, twice the age of Nikita is more than Ankit age by 4 years

∴2y = x + 4

∴ x = 2y - 4

put above value of x in (Equation 1)

∴ (2y - 4) * y = 240

∴ 2y^2 - 4y - 240 = 0

To solve this Quadratic Equation :

∴ 2y^2 - 24y + 20y - 240 = 0

∴ 2y(y - 12) + 20(y - 12) = 0

∴ (y - 12)(2y + 20) = 0

∴ y - 12 = 0 OR y = -20 / 2 = -10

∴ y = 12 OR y = -10

Negative age can not be considered therefore y = -10 can not be considered

Therefore Nitikas age is 12

Answered by MrNulla
4

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