College Algebra CLEP Prep Practice Exam

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The sum of two numbers is 17 and the larger of the two numbers is 3 times the smaller number. What is the larger number?

  1. 4

  2. 6

  3. 9

  4. 12

The correct answer is: 9

Let's call the two numbers x and y. We can write two equations to represent the given information 1. x + y = 17 2. x = 3y From equation 2, we can substitute x with 3y in equation 1: 3y + y = 17 4y = 17 y = 4.25 Since the larger number is 3 times the smaller number, the larger number is 3 times 4.25 which is equal to 12.75. Therefore, the correct answer is 12, which is option C. Option A is incorrect because it is not equal to 3 times the smaller number. Option B is incorrect because it is smaller than the smaller number. Option D is incorrect because it is larger than the sum of the two numbers.

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