53. The Merry Clown Nibumbum

Today is gloomy and sullen.

What is troubling Nibumbum?

He solved an example eight times,

And each time a different sum!

A sad case! (And you?)

When solving, don't forget

(That's the subtlety of the matter!)

Identical letters represent identical digits!

$$
\begin{array}{r}
\text { K O S H K A } \\
+ \text { K O S H K A } \\
\text { K O S H K A } \\
\hline \text { S O B A K A }
\end{array}
$$
53. The sum of three $A$ ends in $A$, so $A=0$ or $A=5$. But, if $A=5$, then $(K+K+K+1)$ cannot end in $K$. Therefore, $\mathbf{A}=0, \mathrm{~K}=5$. Since (Ш + Ш + ІІ +1 ) ends in $\mathbf{A}=0$, then $Ш=3$. Since $\mathrm{K}+\mathrm{K}+\mathrm{K}=15$, then $\mathrm{C}=1$. We have

$$
\begin{aligned}
& 5 * 350 \quad 56350 \quad 57350 \\
& +5 * 350 \quad 56350 \text { or } 57350 \\
& \frac{5 * 350}{1 * * 050} \quad \frac{56350}{169050} \quad \frac{57350}{172050}
\end{aligned}
$$