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The digits of a two-digit number have product 18 and sum 9. The larger of the two numbers that satisfy this is:

  • A.29
  • B.63
  • C.36
  • D.54

Answer: B

Two digits with sum 9 and product 18 are 3 and 6, since \(3 + 6 = 9\) and \(3 \times 6 = 18\). They can be arranged as 36 or 63, and the larger is 63. Treating the digits as roots of \(x^2 - 9x + 18 = 0\) finds them directly.

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