Multiple choice

The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. Which of the following can be that two-digit number?

  1. 69

  2. 78

  3. 43

  4. 76

  5. None of these
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A Correct answer
Explanation

Let the ten's digit be x and unit's digit be y. Then, x + y = 15 and x - y = 3 or y - x = 3. Solving x + y = 15 and x - y = 3, we get: x = 9, y = 6. Solving x + y = 15 and y - x = 3, we get: x = 6, y = 9. So, the number is either 96 or 69. Hence, out of the given options, option (1) is correct.  

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