The problem asks us to transform a given number by altering its digits based on whether they are even or odd, and then find the sum of the odd digits in the resulting number.
Digit Transformation Process
The original number is 937612548.
The rules for transformation are:
- Add 1 to each even digit.
- Subtract 1 from each odd digit.
Applying Transformation Rules
Let's apply these rules to each digit of 937612548:
- 9 (odd) becomes $9 - 1 = 8$
- 3 (odd) becomes $3 - 1 = 2$
- 7 (odd) becomes $7 - 1 = 6$
- 6 (even) becomes $6 + 1 = 7$
- 1 (odd) becomes $1 - 1 = 0$
- 2 (even) becomes $2 + 1 = 3$
- 5 (odd) becomes $5 - 1 = 4$
- 4 (even) becomes $4 + 1 = 5$
- 8 (even) becomes $8 + 1 = 9$
The new number formed by these transformed digits is 826703459.
Summing New Odd Digits
Now, we need to identify the odd digits in the new number (826703459) and calculate their sum.
The digits in the new number are: 8, 2, 6, 7, 0, 3, 4, 5, 9.
The odd digits in this new sequence are: 7, 3, 5, 9.
The sum of these odd digits is:
$ 7 + 3 + 5 + 9 = 24 $Therefore, the sum of all the odd digits in the new number formed is 24.
Similar Questions
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Important Questions from Number Arrangement
Six friends A, B, C, D, E and F are sitting in two lines, facing the north. Three persons are sitting in each line. F is sitting in the middle. C is just behind B. D is to the immediate right of E. B is to the immediate left of F. Which three persons are sitting in the same line?
In the series 5442673314884743581, the number of 4s that are completely divisible by the number on their right but not divisible by the number on their left is:
Refer to the following series and answer the question (all numbers are single digit numbers only).
(Left) 1 2 6 5 6 8 1 5 8 6 9 8 3 3 5 8 9 4 7 8 (Right)
How many such even digits are there, each of which is immediately preceded by an odd digit and also immediately followed by an odd digit?
Each of the digits in the number 9362145 is arranged in ascending order from left to right. What will be the sum of the digits which are second from the left and third from the right in the number thus formed?
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 3842675, how many digits will appear more than once in the new number thus formed?
