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?

Correct result:

x =  3

Solution:

$$\begin{gathered} a=5+1=6 \\ 27=x+6\cdot 4 \\ s=3+(5+1)+(5+1)+(5+1)+(5+1)=27 \\ x=3 \end{gathered}$$

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