Question
If we increase all the even digits by 1 and decrease all
the odd digits by 3 in the number '9738654859' and after that we arrange the new number so formed in ascending order from the left end, then what is the sum of all the even position digits from the left end of the new number so formed?Solution
9Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 8Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 9 6Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 6 0Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â 4Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â 9Â Â Â Â Â Â Â Â Â 9 Even positioned digits, from the left end, are: '2', '4', '6', '7' and '9' Sum = 2 + 4 + 6 + 7 + 9 = 28.
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