Question 12
There are five types of cards. Each type always has the same letter A,B,C,D or E on the front and the same number 1,2,4,8 or 16 on the back. Each beaver takes the fewest cards whose numbers sum to their age.
- Fred, aged 17, takes two cards, one of which is C.
- Grace, aged 18, takes two cards, one B. The other matches one of Harry's cards and is not E.
- Harry, aged 15, is the only one with A; A has the largest number among his cards. He also has C.
Let a,b,c,d,e be the numbers on A,B,C,D,E. What remainder does a−b+c−d+e+100 leave when divided by 7?
- Fred, aged 17, takes two cards, one of which is C.
- Grace, aged 18, takes two cards, one B. The other matches one of Harry's cards and is not E.
- Harry, aged 15, is the only one with A; A has the largest number among his cards. He also has C.
Let a,b,c,d,e be the numbers on A,B,C,D,E. What remainder does a−b+c−d+e+100 leave when divided by 7?