# What are the values? (full question in Details)

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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,