Game 27

Susan wanted to play the game. In the beginning, the first says a number from 1 to 8. Then the second player adds a number from 1 to 5 and tells the sum. Again, the Susan adds a number from 1-5 and say sum and etc. . . The winner must say the number 27. What first number did Susan have to say to definitely win?

Result

x =  3

Solution:

a=5+1=6 27=x+6⋅ 4  s=3+(5+1)+(5+1)+(5+1)+(5+1)=27 x=3a=5+1=6 \ \\ 27=x + 6 \cdot \ 4 \ \\ \ \\ s=3+(5+1)+(5+1)+(5+1)+(5+1)=27 \ \\ x=3

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