Discussion
A number is larger than half of 100. It is more than 6 tens and less than 8 tens. The sum of its digits is 9. The tens digit is the double of the ones digit. What is the number ?
Answer: B
The number is 63.
It is more than 6 tens and less than 8 tens, so it lies between 60 and 80, and its tens digit is 6 or 7.
The tens digit is double the ones digit, so it must be even: the tens digit is 6 and the ones digit is 3. Check the digit sum: 6 + 3 = 9, and 63 is larger than half of 100.
The distractors fail one condition each. 72 has digit sum 9 but 7 is not double 2. 54 is less than 60. 81 is more than 8 tens, and 8 is not double 1 either.
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