What are the values? (full question in Details)
The sum of five numbers is -1/4. The numbers include two pairs of opposites. The quotient of two values is 2. The quotient of to different values is -3/4. What are the values?
The sum of five numbers is -1/4. The numbers include two pairs of opposites. The quotient of two values is 2. The quotient of to different values is -3/4. What are the values?
1 Answer
If you get this one, what do you win?
MULTIPLE SOLUTIONS:
or
(there are still more...)
Explanation:
...I had to look up "opposite numbers", which is embarrassing.
A number's opposite is the same distance from zero on the number-line, but in the other direction. 7's opposite is -7, for example.
So, if I understand it right, we have:
We know the 2 pairs of opposites cancel each other out, so we can say that:
Now for the quotients. We know that the quotient of a number divided by its opposite is -1, so to analyze the 2 quotients (2 and -3/4), we have to divide c/a or c/-a (or vice versa), and c/b or c/-b (or vice versa.
Let's say
Okay, then. Let's say
So
NOT THE ONLY SOLUTION.
Lets say
Or,