Each letter shown represent distinct digit...can vary from zero to nine.
$COCA$, $COLA$, $SODA$ are three concatenated numbers.
Figure these out from the following relation:
$COCA + COLA = SODA$
Each letter shown represent distinct digit...can vary from zero to nine.
$COCA$, $COLA$, $SODA$ are three concatenated numbers.
Figure these out from the following relation:
$COCA + COLA = SODA$
Based on Omega Krypton's answer,
$2C+1=S,C+L=D+10$, $A=0,O=9$. (Note that $O=9$ so $C+L$ carries.)
We also need that these digits $C,L,D,S$ are distinct between $1\sim 8$. ($0$ and $9$ are taken.)
If $C=1$ or $C=2$ then, since $D\ge 1$ we have $L\ge 9$ which is incorrect.
So $C=3$ and $S=7$. We have $L=8$ and $D=1$.
That is $3930+3980=7910$.
We have the following
COCA
+COLA
-----
SODA
First, from the ones column, we have $A+A \implies A$ which is only possible if $A=0$.
Next, notice something similar in the
hundreds place; $O+O \implies O$. Since $0$ is already taken and the only possibility without a carry over, we must have a carry over from the 10s, and $O=9$ is the only possibility. We will also have a carry over into the thousands.
Since we have a 4 digit number as the result, we know that
$0 \lt C \le 4$.
But:
-But $C=4 \implies S=9$ which is already taken by $O$.
-And $C=1 \implies L=9$ to achieve a carryover, which is taken by $O$.
-And $C=2 \implies L\in\{8,9\}$. But $L=9$ is taken, and $L=8 \implies D=0$ is also taken.
Thus,
$C=3$.
Also, we know
$S=7$ because the hundreds will carry over, and we also know that in order to carry over the 10s, we need $L\ge 7$. But $L=7$ and $L=9$ are taken leaving only $L=8$, and thus, $D=1$.
Thus, the solution is;
COCA+COLA=SODA, 3930+3980=7910
Since we know that
$A+A \equiv A \pmod {10}$
Therefore $A$
$=0$
Hundreds value must carry since $O \neq 0$
Therefore
$O+O+1 \equiv O \pmod {10}$
Therefore $O$
$=9$
We now get
$2C+1=S$
$C+L=D$
And since $S<9$
$0<C<4$
Then there are many possibilities... any relations I missed out?