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In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?

Correct answer: E. None of these

  • A. 975
  • B. 753
  • C. 642
  • D. 684
  • E. None of these

Explanation

Let the tens digit be t, so the hundreds digit is t + 2 and the units digit is t - 2. Their sum gives (t + 2) + t + (t - 2) = 18, hence 3t = 18 and t = 6, producing 864. Since 864 is not listed, option e is correct; a likely choice is option d, 684, from reversing the required relation between the hundreds and tens digits.

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