Question 27 of 37intermediate🔧 ApplyShort Answer2 marks

Now, find different digits such that the difference between the numbers is 27.

Correct Answer

Rule: Difference = 9 × (difference of digits)

For difference = 27: 9 × (difference of digits) = 27 Difference of digits = 3

Examples: (3,6): 63 - 36 = 27 (4,7): 74 - 47 = 27 (5,8): 85 - 58 = 27 (2,5): 52 - 25 = 27 (1,4): 41 - 14 = 27

Exercise: Pastime Mathematics | Q: 3(4) | (Page Page 13)
For More Understanding

Explanation

Since the difference between a two-digit number and its reverse equals 9 times the difference of the digits, for the difference to be 27, we need 9 × (a - b) = 27, which means a - b = 3. Any pair of digits differing by 3 will work.

Solution Steps

  1. Step 1: Difference = 9 × (difference of digits)

  2. Step 2: For difference = 27: 9 × (difference of digits) = 27

  3. Step 3: Difference of digits = 3

  4. Step 4: Examples: (3,6), (4,7), (5,8), (2,5), (1,4)

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