piyush_nitt wrote:Sum of positive integers x and y is 72. What is xy?
a. x = y + 1
b. x and y have same tens digit

Agree with Dana - if x+y = 72, then either x and y are both odd, or x and y are both even. Statement 1 says that x and y are consecutive integers (i.e. one of them is odd, the other even) which contradicts information in the question.

If S1 didn't lead to a contradiction (e.g. if it said x = y+2), using it and the information in the question, you'd be able to find both x and y, and therefore answer the question. S2 alone would not be sufficient, since there are a few pairs of values of x and y with the same tens digit that add to 72 (36+36, 35+37, etc), and for each we get a different product xy.

Still, if that's the original version of the question, there's something wrong with the source.