Question 24
Four 2-digit numbers are made up from the digits 2, 3, 4, ..., 9 with no repetition. The following are the hints about these numbers:
- In the smallest number, the ones digit is twice the tens digit.
- In the largest number, the sum of ones and tens digits is 11.
- In one of the numbers, the tens digit is 5 more than the ones digit.
- One of the numbers is divisible by 7.
Find the second smallest number.
Interpretation for this question: Use each digit 2 through 9 exactly once across all four numbers. A number may satisfy more than one hint.
Answer format: enter the whole-number answer without units. Leading zeros are optional (the original paper uses four-digit answer boxes).
- In the smallest number, the ones digit is twice the tens digit.
- In the largest number, the sum of ones and tens digits is 11.
- In one of the numbers, the tens digit is 5 more than the ones digit.
- One of the numbers is divisible by 7.
Find the second smallest number.
Interpretation for this question: Use each digit 2 through 9 exactly once across all four numbers. A number may satisfy more than one hint.
Answer format: enter the whole-number answer without units. Leading zeros are optional (the original paper uses four-digit answer boxes).