College Algebra CLEP Prep Practice Exam

Question: 1 / 410

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?

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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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