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A boy was asked to multiply a number by 25. He instead multiplied the number by 52 and got the answer 324 more than the correct answer. What was the number?

  • A.12
  • B.15
  • C.18
  • D.20

Answer: A

The excess comes from the difference between the two multipliers.

\[ 52x - 25x = 324 \quad\Longrightarrow\quad 27x = 324 \]

\[ x = 12 \]

Checking: \( 52 \times 12 = 624 \) and \( 25 \times 12 = 300 \), a difference of 324.

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