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The difference between the digit of a two-digit number is 4. What is the digit in unit’s place? To find out the answer, which of the information given in the statement P and Q is/are sufficient. P: The difference between the actual number and the number obtained by interchanging the positions of the digit is 36. Q: The sum of the digits of the number is 12.

The difference between the digit of a two-digit number is 4. What is the digit in unit’s place? To find out the answer, which of the information given in the statement P and Q is/are sufficient. P: The difference between the actual number and the number obtained by interchanging the positions of the digit is 36. Q: The sum of the digits of the number is 12. Correct Answer Both P and Q are sufficient

Explanation:

Let the number be AB

The difference between the digits of a two-digit number is 4

⇒ A - B = 4 (or) B - A = 4

From statement Q:

The sum of the digits of the number is 12

⇒ A + B = 12

From the above two equations, the number can be either 48 (or) 84

From statement P:

⇒ AB - BA = 36

That means the given number is larger than the number obtained by interchanging the positions of the digit

Hence the required number is 84

Hence we need both statements to solve the given problem

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