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ExamsIBPS POQuantitative Aptitude

The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1:2?

  1. 4
  2. 8
  3. 16
  4. None of these

Correct answer: 8

Solution

Let the digits be \(x\) and \(2x\). The difference between the number and its reverse is \(9(2x-x)=36\), so \(x=4\). Thus the digits are 4 and 8; their sum is 12 and difference is 4, so the required difference is 8.

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