Glenn and Jason each have a collection of tennis balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

  1. 17

  2. 15

  3. 14

  4. 16


Correct Option: C

AI Explanation

To answer this question, let's analyze the given information:

Let's assume that Glenn has "x" tennis balls, and Jason has "y" tennis balls.

According to the first statement, if Jason gives Glenn 2 balls, they would have an equal number. This can be expressed as:

x + 2 = y - 2 (Equation 1)

According to the second statement, if Glenn gives Jason 2 balls, Jason would have 2 times as many balls as Glenn. This can be expressed as:

x - 2 = 2(y + 2) (Equation 2)

We now have a system of equations with two variables (x and y). Let's solve this system to find the values of x and y.

Solving Equation 1 for x, we get:

x = y - 4

Substituting this value of x into Equation 2, we have:

y - 4 - 2 = 2(y + 2) y - 6 = 2y + 4 y - 2y = 4 + 6 -y = 10 y = -10

Since the number of tennis balls cannot be negative, we discard this solution. Therefore, there is no valid solution for this problem.

None of the given options (A, B, C, D) are correct.

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