The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true:
A is divisible by 9
B is divisible by 9
C is divisible by 9
A and B are both divisible by 9
A,B,and C are all divisible by 9
?????
all the values are divisible by 3
A/B must be divisible by 3
... so A must divisible by 9
To solve this problem, we need to use the given information that the values A, B, C, and [(A/B)+C] are all integers divisible by 3.
Let's break down the statements:
A is divisible by 9: This statement does not necessarily have to be true. A could be any integer divisible by 3, but it may not necessarily be divisible by 9. For example, A could be 3, 6, or 12, which are all divisible by 3 but not by 9.
B is divisible by 9: This statement does not necessarily have to be true either. Similar to A, B could be any integer divisible by 3 but not necessarily by 9. For example, B could be 3, 6, or 12.
C is divisible by 9: This statement does not necessarily have to be true either. C could be any integer divisible by 3 but not necessarily by 9. For example, C could be 3, 6, or 12.
A and B are both divisible by 9: If A and B are both divisible by 9, then this statement would be true. But since A and B can be any integers divisible by 3 (not necessarily divisible by 9), this statement may not be true.
A, B, and C are all divisible by 9: This statement does not necessarily have to be true. A, B, and C can each be any integers divisible by 3 (not necessarily divisible by 9). For example, A could be 3, B could be 6, and C could be 12, which are all divisible by 3 but not by 9.
In conclusion, none of the statements must be true based on the information given in the question. It is possible for A, B, and C to be divisible by 3 but not necessarily by 9.