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The product of the digits of a two-digit number is 24, and reversing the digits increases the number by 18. The number is:

  • A.38
  • B.46
  • C.64
  • D.83

Answer: B

Reversing adds 18, so \( 9(b-a) = 18 \) and \( b - a = 2 \); the digits also multiply to 24.

\[ a(a+2) = 24 \quad\Longrightarrow\quad a = 4, \ b = 6 \]

\[ \text{number} = 46 \]

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