Question 16
Juliana wants to assign a nonzero numerical value to each of the 26 letters $A,B,C,D,\ldots,W,X,Y,Z$, so that $A\times C=B$, $B\times D=C$, $C\times E=D$, and so on, up to $X\times Z=Y$.
a) If she assigns $A=5$ and $B=7$, what are $C,D,E$?
b) Show that $G=A$, whatever values she assigns to $A,B$.
c) If she assigns values with $A\times B=2010$, what is the product $A\times B\times C\times D\times\cdots\times W\times X\times Y\times Z$?
a) If she assigns $A=5$ and $B=7$, what are $C,D,E$?
b) Show that $G=A$, whatever values she assigns to $A,B$.
c) If she assigns values with $A\times B=2010$, what is the product $A\times B\times C\times D\times\cdots\times W\times X\times Y\times Z$?