*i know twice as many jokes as my friend does. together we know 60 different jokes. my friend and i both know the same three jokes. how many jokes do i know? how many jokes does my friend know?

Step-by-step explanation:

Together, you know 66 jokes (60 different and 3 that count twice). If you know twice as many as your friend, your friend knows 1/3 of the total number of jokes, and you know 2/3 of them. Your friend knows ...

  1/3 × 66 jokes = 22 jokes

You know 44 jokes, and your friend knows 22 jokes.

Check

Your friend knows 22 -3 = 19 jokes that are different from ones you know, and you know 44 -3 = 41 jokes that are different from the ones your friend knows. 19+41 = 60