Arithmetic Aptitudes › Problems on Ages › Question #4437
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QAnkit and Nikita's ages, when multiplied together, equal 240. If Nikita's age is twice that of Ankit's age plus 4 years, what is Nikita's age?

ID: #4437 Problems on Ages 311 views
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  • A 16 ✔ ✖
  • B 12 ✔ ✖
  • C 20 ✔ ✖
  • D 10 ✔ ✖
Correct Answer: Option B

Explanation

Ankit's age: x years
Nikita's age: y years

Equation: 2y - x = 4
Substituting the expression for Nikita's age: 2(240/x) - x = 4
Multiplying through the parentheses: 480 - x^2 = 4x
Combining like terms: x^2 + 4x - 480 = 0
Factoring: (x+24)(x-20) = 0
Solving: x = 20 or x = -24

Since Ankit's age cannot be negative, we know that Ankit's age is 20 years.

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