# The mean of five numbers is #-5#. The sum of the positive numbers in the set is #37# greater than the sum of the negative numbers in the set. What could the numbers be?

##### 1 Answer

One possible set of numbers is

#### Explanation:

When we look at mean, we're taking the sum of the values and dividing by the count:

We're told that the mean of 5 numbers is

Of the values, we're told the sum of the positive numbers is 37 greater than the sum of the negative numbers:

and remember that:

I'll use P for the positives and N for the negatives, then substitute in our first expression into the second:

which means:

And now we have all the restrictions we have to work within. We can have any number of positive numbers and negative numbers, so long as the total number of numbers is 5 and the values of the negatives equals

One possible set of numbers is: