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Two consecutive whole numbers multiply together to give 552. What is the sum of those two numbers?

Competition practiceReasoning & Mental Ability
  • A46
  • B24
  • C47
  • D48

Step-by-Step Solution

The two numbers sit either side of the square root of 552, and since and , the pair to try is 23 and 24. Indeed , so the sum is 23 + 24 = 47. Notice too that the sum of two consecutive whole numbers is always odd, which rules out two of the choices on sight. The traps: 46 is twice the smaller number and 48 is twice the larger, both from doubling one of the pair instead of adding the two; 24 is the larger number by itself, an answer to a question that was not asked.
Answer: C) 47

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