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A two-digit number is three times the sum of its digits. The number is:

  • A.24
  • B.27
  • C.36
  • D.54

Answer: B

Write the number as \(10t + u\). Then \(10t + u = 3(t + u)\), which simplifies to \(7t = 2u\). Since digits run from 0 to 9, the only fit is \(t = 2\) and \(u = 7\), giving 27. Check: the digit sum is 9 and \(3 \times 9 = 27\).

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