Hi,
Trying to help daughter with homework and it has been so long! Can't get my head round this one:
ab*c+d=200+ef
We are told that a,b,c,d,e,f represent 2,3,4,5,6,7 but not in that order. Can someone tell me how to work this out please, it is driving me nuts. Thank you very much.
Hello, myfi!
Trying to help daughter with homework.
. . $\displaystyle AB*C+D\:=\:200+EF$
We are told that $\displaystyle A,B,C,D,E,F$ represent 2,3,4,5,6,7 but not in that order.
I don't understand that solution
. . . or maybe I don't understand the problem.
I would assume that $\displaystyle AB$ represents a two-digit number, as does $\displaystyle EF.$
Otherwise, why would they write it that way?
So we have a math puzzle to solve:
. . $\displaystyle \begin{array}{ccc}
& A & B \\ & \times & C \\ \hline
? & ? & ? \\
+ & & D \\ \hline
2 & E & F \end{array}$
There are $\displaystyle 6! = 720$ possible placements of those digits.
We can eliminate many possibilities,
. . but it will still require Brute Force trial-and-error.
I found a solution (and I'm not looking for any more).
. . $\displaystyle \begin{array}{ccc}
& {\color{red}3} & {\color{red}6} \\ & \times & {\color{red}7} \\ \hline
2 & 5 & 2 \\
+ & & {\color{red}2} \\ \hline
2 & {\color{red}5} & {\color{red}4} \end{array}$