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Q1. 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?

10 Year

12 Years

16 Years

24 Years

Accepted Answer

Answer : 12 Years

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 = (240/20) years = 12 years.
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