# The Conversation

**Algebra**Level 3

One day, Jack and Jill was bored. Jill then asked Jack a question: "Hey Jack, see if you can figure the answer, I've got two real POSITIVE values and their properties are:

```
1. Their sum is equal to their product.
2. Their sum is equal to their squares' difference.
```

Can you help Jack find the answer? From the information given, take the floor function of each value and add the results together.

Clarification: Floor Function : \(\left \lfloor{x}\right \rfloor \) = the largest integer that is smaller or equal to \(x\). For example, \(\left \lfloor{3.25}\right \rfloor = 3\) and \(\left \lfloor{2.99999999}\right \rfloor = 2\)

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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