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Q: The difference between a number of two digits and the new number formed when the digits are interchanged is 45. Find the difference between the two digits.
  • A. 4
  • B. 5
  • C. 6
  • D. 7
Correct Answer: Option B - Let the tens digit be x. And the unit digit be y. The number = 10x + y According to the question, (10x + y) – (10y + x) = 45 9x – 9y = 45 Hence, the required difference will be x – y = 5
B. Let the tens digit be x. And the unit digit be y. The number = 10x + y According to the question, (10x + y) – (10y + x) = 45 9x – 9y = 45 Hence, the required difference will be x – y = 5

Explanations:

Let the tens digit be x. And the unit digit be y. The number = 10x + y According to the question, (10x + y) – (10y + x) = 45 9x – 9y = 45 Hence, the required difference will be x – y = 5