Multiple choice

Product of Raven`s age 5 years ago and 9 years later is 15. What is her present age?

  1. 6 years

  2. 8 years

  3. 9 years

  4. 10 years

  5. 12 years
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A Correct answer
Explanation

Let Raven's present age be x. The problem states that (x - 5)(x + 9) = 15, which simplifies to the quadratic equation x^2 + 4x - 60 = 0. Factoring this gives (x + 10)(x - 6) = 0, and since age cannot be negative, her present age must be 6 years.

AI explanation

Let Raven's present age be x years. Her age 5 years ago was (x - 5) and her age 9 years later will be (x + 9). Their product is 15, giving the quadratic equation x^2 + 4x - 45 = 15, which simplifies to x^2 + 4x - 60 = 0. Factoring this gives (x + 10)(x - 6) = 0, so her present age is 6 years.

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