Final answer:
When reviewing the options provided for a 2-digit number with the tens digit being 8 more than the ones digit, none of the options A) 89, B) 78, C) 67, D) 56 meets the condition without involving the digit zero.
Step-by-step explanation:
The question asks us to find a 2-digit number where the tens digit is 8 more than the ones digit. We're also told that zero is not one of the digits. To solve this, we need to determine which pair of digits meets this condition from the given options A) 89, B) 78, C) 67, D) 56.
Let's go through the options given:
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- For option A) 89, the tens digit 8 is not 8 more than the ones digit 9.
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- For option B) 78, the tens digit 7 is indeed 8 more than the ones digit 8 minus 8, which is 0. However, the condition states that zero cannot be a digit, so this option is not possible.
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- For option C) 67, the tens digit 6 is not 8 more than the ones digit 7.
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- For option D) 56, the tens digit 5 is not 8 more than the ones digit 6.
However, if we review option B) 78 again, despite the mention of zero not being a digit, it is apparent that when comparing the tens and ones digits mathematically, 7 is 8 more than -1, which is impossible for our numeral system. Therefore, none of the options provided correctly matches the condition that the tens digit is 8 more than the ones digit without involving zero. There must be an error in the question or the provided options.