Which two integers have a positive quotient and a negative sum?

a. -9 and -3
b. -6 and 2
c. 5 and 1
d. 8 and -4

a is the answer

-9/-3 is 3
any negative divided by another negative is always a positive
the -9+(-3)
so it is -9-3
-9-3=-12

To determine which two integers have a positive quotient and a negative sum, we need to find two numbers whose division is positive but whose sum is negative.

Let's analyze each option:

a. -9 and -3: The quotient of -9 divided by -3 is 3, which is positive. However, the sum of -9 and -3 is -12, which is also negative. So this option satisfies the conditions.

b. -6 and 2: The quotient of -6 divided by 2 is -3, which is negative. Since the quotient needs to be positive, this option does not satisfy the conditions.

c. 5 and 1: The quotient of 5 divided by 1 is 5, which is positive. However, the sum of 5 and 1 is 6, which is positive. So this option does not satisfy the conditions.

d. 8 and -4: The quotient of 8 divided by -4 is -2, which is negative. Since the quotient needs to be positive, this option does not satisfy the conditions.

Therefore, the answer is option a. -9 and -3.