College Math CLEP Prep Practice Exam

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If the sum of two numbers is 24 and their difference is 16, what is the larger number?

The correct answer is: 16

If the sum of two numbers is 24 and their difference is 16, the larger number must be greater than half of 24 since their difference is 16. Therefore, the larger number must be greater than 12. Option A (8) and C (24) are smaller than 12, so they cannot be the larger number. Option D (40) is larger than 12, but cannot be the difference of two numbers that sum up to 24, so it is also incorrect. Option B (16) is the only choice left and it satisfies the conditions of being a number that is greater than half of 24 and can also be the difference of two numbers that add up to 24. Therefore, option B is the correct answer.