The positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t.
The positive integers s and t leave remainders of 2 and 3, respectively, when divided by 6. s > t. What is the remainder when s– t is divided by 6?
Answer/Solution
5
Steps/Work
Let's test out some values of p and q that satisfy the given information.
s leaves are remainder of 2 when divided by 6
So, s COULD equal 8
t leaves are remainder of 3 when divided by 6
So, t COULD equal 3
What is the remainder when s – t is divided by 6?
So, s - t = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5
Answer: E
s leaves are remainder of 2 when divided by 6
So, s COULD equal 8
t leaves are remainder of 3 when divided by 6
So, t COULD equal 3
What is the remainder when s – t is divided by 6?
So, s - t = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5
Answer: E