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Here is a simple rule worth remembering. For any 2 integers, a and b,

case 1, if a is a multiple of n, b is a multiple of n, then a + b or a - b will be a multiple of n. case 1, if a is a multiple of n, b is NOT a multiple of n, then a + b or a - b will NOT be a multiple of n. case 1, if a is NOT a multiple of n, b is NOT a multiple of n, then a + b or a - b CAN be a multiple of n.

The question stem is - Is 3(a+b)-c divisible by 3? Here first term is 3(a+b) and second term is c. First term is clearly multple of 3. So to answer the question, we need to know whether c is divisble by 3. And based on the above rules we can say whether the number in question is divisible by 3.

Stmt 1 - a + b is divisible by 3. This is immaterial since we know that first term is already divisible by 3. Nothing is mentioned abt c. Hence In sufficient.

Stmt 2 - c is divisible by 3. This clue is sufficient now that both the first and the second terms are divisible by 3. Hence the number is question is divisible by 3. Sufficient.

If a, b, and c are integers, is the number 3(a+b)-c divisible by 3?

(1) a + b is divisible by 3. (2) c is divisible by 3.

Lets check the equation in question.

there are two parts of the equation. 3(a+b) and then c.

now 3(a+b) will always be divisible by 3. as it represents some thing like 3x. now for this equation to be divisible by 3 we only need to know whether c is divisible by 3 or not. this information is amply supplied by statement 2.

If a, b, and c are integers, is the number 3(a+b)-c divisible by 3?

(1) a + b is divisible by 3. (2) c is divisible by 3.

Lets check the equation in question.

there are two parts of the equation. 3(a+b) and then c.

now 3(a+b) will always be divisible by 3. as it represents some thing like 3x. now for this equation to be divisible by 3 we only need to know whether c is divisible by 3 or not. this information is amply supplied by statement 2.