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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