If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?
Question
If two is subtracted from each odd digit and three is added to each even digit in the number 94257636, how many digits will appear twice in the new number thus formed ?
Solution
Sure, let's break it down step by step:
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First, identify the odd and even digits in the number 94257636. The odd digits are 9, 5, 7, 3 and the even digits are 4, 2, 6, 6.
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Subtract 2 from each odd digit: 9-2=7, 5-2=3, 7-2=5, 3-2=1. So, the odd digits become 7, 3, 5, 1.
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Add 3 to each even digit: 4+3=7, 2+3=5, 6+3=9, 6+3=9. So, the even digits become 7, 5, 9, 9.
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Now, combine these new digits to form the new number: 75375959.
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Finally, identify which digits appear twice in the new number. The digits that appear twice are 7, 5, and 9.
So, there are 3 digits (7, 5, and 9) that will appear twice in the new number thus formed.
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