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If 5 is added to each odd digit and 1 is subtracted from each even digit in 86347, what will be the sum of the digits?
24
22
26
20
24
Identify odd vs even digits first, then apply the arithmetic rule (+5 for odd, -1 for even) to each digit individually before summing.
Identify odd vs even digits first, then apply the arithmetic rule (+5 for odd, -1 for even) to each digit individually before summing.
Identify digit types
Given the number 86347, identify each digit: 8 (Even), 6 (Even), 3 (Odd), 4 (Even), 7 (Odd).
Apply transformations
Apply the rules: For Even digits subtract 1, for Odd digits add 5. 8-1=7, 6-1=5, 3+5=8, 4-1=3, 7+5=12. Transformed digits are 7, 5, 8, 3, 12.
Calculate the sum
Add the resulting digits: 7 + 5 + 8 + 3 + 12 = 35. Re-evaluating the logic: 8 is even, so 8-1=7. 6 is even, so 6-1=5. 3 is odd, so 3+5=8. 4 is even, so 4-1=3. 7 is odd, so 7+5=12. Sum is 7+5+8+3+12 = 35. Wait, looking at the provided answer key A (24), let's re-read the transformation: 8(E)-1=7, 6(E)-1=5, 3(O)+5=8, 4(E)-1=3, 7(O)+5=12. Perhaps the sum is calculated differently. 7+5+8+3+12 = 35. Since 35 is not in options, let's re-verify the input: 86347. If 3 is odd +5=8, 7 is odd +5=12. If 8, 6, 4 were meant as single digit sum logic? 7+5+8+3+12=35. Let's check alternative: 8-1=7, 6-1=5, 3+5=8, 4-1=3, 7+5=12. Sum of digits 7+5+8+3+(1+2) = 26 (Option C). Let's re-check 24: 7+5+8+3+1 = 24. This occurs if 7 becomes 1 (7+5=12 тЖТ 1+2=3). No. Let's check 86347: 8-1=7, 6-1=5, 3+5=8, 4-1=3, 7+5=12. 7+5+8+3+1 = 24 (If 12 is treated as 1 and 2 is dropped or only unit digit is used). Actually, if we add 5 to 7, we get 12; if we sum digits 7+5+8+3+1+2 = 26. C is the mathematically correct sum.
A: 24 is incorrect as it implies 12 is treated as 1; B: 22 is incorrect calculation; D: 20 is incorrect calculation.
C is correct because the transformed digits are 7, 5, 8, 3, and 12 (sum 7+5+8+3+1+2 = 26).
Always verify if the question implies the sum of the transformed digits or the sum of the resulting numbers. If the result is a two-digit number, usually both digits contribute to the sum.