Paul is two years younger than Patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. How old is Paul currently?

Answer 1

Let's start by assigning variables to the unknowns:

- Let's call Paul's age "P"
- Let's call Patricia's age "P+2" (since we know Paul is two years younger)
- Let's call Daniel's current age "D"

From the problem, we also know that:

- D = 1.25(P+2) (since Daniel is 25% older than Patricia)
- 10 years ago, D-10 = 1.5(P+2-10) (since 10 years ago, Daniel was 50% older than Patricia)

Simplifying the second equation:

- D-10 = 1.5P - 15
- D = 1.5P - 5

Now we can substitute the second equation into the first:

- 1.5P - 5 = 1.25(P+2)
- 1.5P - 5 = 1.25P + 2.5
- 0.25P = 7.5
- P = 30

So Paul is currently 30 years old.