Question
If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4813576, what will be the difference between the highest and the lowest digits in the number thus formed?
The correct answer is
6
Step 1: Identify Digits and Apply Rules
The original number is 4813576.
We need to apply two rules:
- Add 1 to each odd digit.
- Subtract 2 from each even digit.
Let's transform each digit:
- 4 (even): $4 - 2 = 2$
- 8 (even): $8 - 2 = 6$
- 1 (odd): $1 + 1 = 2$
- 3 (odd): $3 + 1 = 4$
- 5 (odd): $5 + 1 = 6$
- 7 (odd): $7 + 1 = 8$
- 6 (even): $6 - 2 = 4$
Step 2: Determine the New Number's Digits
The transformed digits, in order, form the new number's digits: 2, 6, 2, 4, 6, 8, 4.
Step 3: Find Highest and Lowest Digits
From the new sequence of digits (2, 6, 2, 4, 6, 8, 4):
- The highest digit is 8.
- The lowest digit is 2.
Step 4: Calculate the Difference
The question asks for the difference between the highest and lowest digits.
Difference = Highest Digit $ - $ Lowest Digit
Difference = $8 - 2 = 6$
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- This question is based on the five, three-digit numbers given below.
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(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
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