Andrea M. answered • 04/19/19
Math (up to algebra 1) and Native Spanish Ivy League Grad Summer Tutor
Not sure if this first part is given, but I will explain it anyway...the first thing is to figure out whether the two numbers are negative or positive. Here are the rules for adding and multiplying positive and negative numbers:
negative + negative = negative
negative + positive = either
positive + positive = positive
negative*negative = positive
negative*positive = negative
positive*positive = positive
Since the sum and the product of the two numbers are both positive, then using the rules above we know that the two numbers must also be positive.
Now that we know that both numbers are positive, we can solve from there.
In order for the sum of the two numbers to be 6, they must each be less than or equal to 6, so start with 0 as one of the numbers and write down all the possible combinations:
0 and 6
1 and 5
2 and 4
3 and 3
Of the combinations above, only 1 and 5 will result in a produce of 5, so those are the only two possible numbers that satisfy both conditions given.
