Netrusova N.M.

In the equation TIKH + TIGR = SPIT, replace identical letters with identical digits, and different letters with different digits so that TIGR is as small as possible (there are no zeros among the digits).

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To make TIGR as small as possible, we need to make the digit T as small as possible first, then the digit I, then the digit G, and then $\mathbf{\text { - }}$.

Let's try taking $\mathrm{T}=1$. Then $\mathrm{C}$ is 2 or 3. But if $\mathrm{C}=3$, then I is at least 5, and if $\mathrm{C}=2$, then we can take $I=3$. Let's take $\Gamma=4, \mathrm{P}=5$ (in this case, TIGR is minimal) and try to select the remaining digits. From the equation $13 \mathrm{XO}+1345=2$ PZ1, we get that $\mathrm{O}=6, \mathrm{X}=8, \mathrm{P}=7$.

## Answer

$1386+1345=2731$.