Question

In this question, you are given two statements. To answer this question, you can use one or both the statements.
What is the value of the 2-digit number ab?
A. The difference between its digits is 4.
B. The sum of its digits is 4.

• A. If statement A ALONE is sufficient to answer the given question, but statement B alone is not.
• B. If statement B ALONE is sufficient to answer the given question, but statement A alone is not.
• C. If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.
• D. If both the statements are INDEPENDENTLY sufficient to answer the given question.

Answer 1

Answer: (C)

If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.

Answer 2

Let the digits of the number be $x$ and $y$
Clearly, each statement alone is not sufficient as there can be many possibilities. By combining the above statements, we get:
$x+y=4$ and $x-y=4$
By solving above equations, we get:$x=4$ and $y=0$, thus number = 40
∴Both statements together are sufficient
The correct answer is (C): If both the statements TOGETHER are sufficient to answer the given question, but neither statement alone is sufficient.