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A two-digit number exceeds the sum of its digits by 18. Its tens digit is:

  • A.1
  • B.3
  • C.2
  • D.4

Answer: C

The excess is \((10t + u) - (t + u) = 9t\), so \(9t = 18\) and \(t = 2\). The units digit is unconstrained, so 20 through 29 all satisfy the condition - the question can only ask for the tens digit, which is fixed at 2.

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