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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 ?Options1023

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 ?Options1023

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Solution

Let's break down the problem step by step:

  1. Identify the digits in the number 94257636.
  2. Apply the given transformations:
    • Subtract 2 from each odd digit.
    • Add 3 to each even digit.
  3. Form the new number.
  4. Count how many digits appear twice in the new number.

Step 1: Identify the digits in 94257636:

  • 9, 4, 2, 5, 7, 6, 3, 6

Step 2: Apply the transformations:

  • For odd digits (9, 5, 7, 3):
    • 9 - 2 = 7
    • 5 - 2 = 3
    • 7 - 2 = 5
    • 3 - 2 = 1
  • For even digits (4, 2, 6, 6):
    • 4 + 3 = 7
    • 2 + 3 = 5
    • 6 + 3 = 9
    • 6 + 3 = 9

Step 3: Form the new number:

  • The new number is 7, 7, 5, 3, 5, 9, 1, 9

Step 4: Count how many digits appear twice:

  • 7 appears twice
  • 5 appears twice
  • 9 appears twice

So, there are 3 digits that appear twice in the new number.

Answer: 3

This problem has been solved

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