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?
Explanation:
Let Ankit's age be x years. ∴ Nikita's age = 240/x years.
⇒ 2 × (240/x) = x + 4 ⇒ 480 = x2 + 4x ⇒ x2 + 4x – 480 = 0 ⇒ (x + 24)(x - 20) = 0 ⇒ x = 20.
Hence, Nikita's age = 240/20 = 12 years.
Hence, 12.
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