Question

What is the value of a two-digit number?
(1)The sum of the two digits is 4.
(2)The difference between the two digits is 2

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
• D. Statements (1) and (2) TOGETHER are NOT sufficient

Answer 1

The correct option is D Statements (1) and (2) TOGETHER are NOT sufficient

(1) ⇒x+y=4⇒x+y=4
(2) ⇒x−y=2⇒x−y=2
Solving above equations, we get x and y. But the numbers may be either 10x+y10x+y or 10y + x. Hence, we can't get the solution.
∴∴ Both statements together are not sufficient to answer the question.