SSAT Math Question 256: Answer and Explanation
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Question: 256
10. Two numbers, whose difference is 7, add up to 55. Identify the smaller number.
- A. 31
- B. 28
- C. 26
- D. 24
Correct Answer: D
Explanation:
The answer is D
Let x represent the smaller number, and let y represent the larger number. Set up two equations: y - x = 7, and y + x = 55. Place one equation over the other and combine like terms: 2y = 62. Divide both sides by 2: y = 31. Substitute y = 31 into either equation to solve for x, which equals 24.
Test the answers, starting with choice (C). If the smaller number is 26 and is 7 less than the larger number, the larger number is 33. However, 26 + 33 = 59, which is too big. Eliminate choices (A), (B), and (C). Now try 24. In this case, the larger number is 31, and the sum is 55.