Multiple choice

Tom and Luis are friends. Tom's age is 2 years more than Luis's age. The product of their ages is 150. Which of the following quadratic equations represents this situation?

  1. x2 + 2x + 150 = 0

  2. x2 + 2x - 150 = 0

  3. x2 - 2x - 150 = 0

  4. x2 - 152 = 0
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Luis's age be x. Tom's age is x + 2. Product is x(x + 2) = 150. x^2 + 2x = 150, so x^2 + 2x - 150 = 0.

AI explanation

Let Luis's age be x, which makes Tom's age x + 2. The product of their ages is given as 150, leading to the equation x(x + 2) = 150. Expanding and rearranging terms yields x^2 + 2x - 150 = 0. This is the required quadratic equation representing the given situation.

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