Iknow 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?

9514 1404 393

Step-by-step explanation:

The total of the numbers we know individually is more than the total of different jokes we know by the number we both know. That is, adding the number I know and the number my friend knows, I get 60 +3 = 63.

Since I know twice as many as my friend, I know 2/3 of that total, or 42 jokes. My friend knows 1/3 of the total, half the number I know, or 21 jokes.

Then I know 42 -3 = 39 different jokes from my friend. My friend knows 21 -3 = 18 different jokes from me. We know 3 jokes in common, so the total number of jokes we know is 39 +18 +3 = 60 jokes.

I know 42 jokes; my friend knows 21.

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363