Given the cryptogram: ИША $+\mathrm{MP}=$ ИМН Restore the numerical values of the letters for which all the given equalities are true, if different letters correspond to different digits. Arrange the letters in ascending order of their numerical values and get the desired text. (Problem from the site www.cryptography.ru.)

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Observing the change in digits during arithmetic operations, it is easy to notice from the last line that Ш=0. Then, we can sequentially determine the values of other letters.

## Solution

From the last line, it is easy to notice that Ш=0. Then from the first column, we find that И=1. Then from the last column, we find $\Phi=2$. Thus,

![](https://cdn.mathpix.com/cropped/2024_05_06_833c0fa0545cff78799cg-08.jpg?height=263&width=463&top_left_y=755&top_left_x=14)

From the middle row, it is clear that $\mathrm{H}>\mathrm{E}$. From the first column, we find $\mathrm{E}=7$. From the middle row, we can calculate the values of Н and 3: $\mathrm{H}=8$ and $3=4$. We get:

| 28 | $\times$ Ы | $=$ | $2 \mathrm{~A} 2$ |
| :---: | :---: | :---: | :---: |
| + | $\times$ | - |  |
| 77 | + | 7 | 84 |
| $=$ | $=$ | $=$ |  |
| $10 \mathrm{~A}$ | $+\mathrm{MP}$ | $=$ | $1 \mathrm{M} 8$ |

Next, we sequentially calculate the values: А=5, Ы=9, М=6, Р=3. Arrange the letters in ascending order of their numerical values and we get the text: ШИФРЗАМЕНЫ

Answer: ШИФРЗАМЕНЫ