The sum of Orion and Sagan's age is 24, and the difference between their ages is 6. Find their ages given that Orion is older than Sagan.

Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).

We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24

2x = 18

x = 9

That means that Sagan is 9, and Orion is 9+6 or 15.