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The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than
Ankits age by 4 years, what is Nikitas age?

10
12
13
15
Explanation:

Let Ankits age be x years. Then, Nikitas age = 240/x years.
2 * (240 /x ) – x = 4
480 – x2 = 4x
x2 + 4x – 480 = 0
( x+24)(x-20) = 0
x = 20.
Hence, Nikitas age = 240/x = 240/20 years = 12 years.
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