You are given:
(1) a + b + c + d = e + f + g + h
(2) a + 2b + 3c + 4d = e + 2f + 3g + 4h
Now give me back:
(3) 4a + 3b + 2c + d = 4e + 3f + 2g + h
(show all work in your proof, please).
Soroban did a wonderful job with my puzzle (and in record time). Now for my next related puzzle.
I give you a trigrade:
(although not required, for simplicity's sake, let a through h be positive integers).
Now I also give you
Can you give me
(I see no one as yet assigned values to the letters so check out 2,8,9,15 = 3,5,12,14; also check out 1,8,10,17 = 2,5,13,16 when you substitute for the letters in my first and second puzzles).
I'll be back next Sunday to check on your progress with my puzzles.