Answer:
The numbers are 1652.5 and 1647.5
Step-by-step explanation:
We are told that there are two numbers, let's call them a and b, and that "One number is five more than (the other)". We can express this like so:
a = b + 5
We're also told that "The product of the numbers is 3300". Which can be expressed as:
a + b = 3300
To solve this, we can simply replace "a" in the second equation with it's value given in the first equation, "b + 5". This gives us:
a + b = 3300
(b + 5) + b = 3300
2b + 5 = 3300
2b = 3300 - 5
2b = 3295
b = 1647.5
Now we can take that value of b and plug it back into one of our first equations to solve for a:
a = b + 5
a = 1647.5 + 5
a = 1652.5
Now let's test our results by plugging them into the other equation:
a + b = 3300
1652.5 + 1647.5 = 3300
3300 = 3300
So that checks out, and the numbers we want are 1652.5 and 1647.5
