[email protected] wrote:What is the value of the two-digit integer x ?

(1) The sum of the two digits is 3.
(2) x is divisible by 3.

Important: There's a nice divisibility rule that says, "If the number K is such that sum of its digits is divisible by 3, then K is divisible by 3"

Examples:
- We know that 402 is divisible by 3 because 4+0+2=6, and 6 is divisible by 3.
- We know that 13581 is divisible by 3 because 1+3+5+8+1=18, and 18 is divisible by 3.

Statement 1 tells us that the sum of the two digits is 3.
So, we can see that x could equal 12, 21 or 30, so statement 1 is NOT SUFFICIENT

Important: Before we even look at statement 2, we already know that, since the sum of the two digits is 3, x must be divisible by 3. So, when we then look at statement 2, we can see that it does not provide any additional information beyond what statement 1 has already provided.

So, if statement 1 is not sufficient, it must be the case that statement 2 is also not sufficient.

More importantly, since statement 2 adds no additional information, it must be the case that the two statements combined are not sufficient. So, the answer must be E

Cheers,
Brent