[ [Reverse Process ]

Lёnya thought of a number. He added 5 to it, then divided the sum by 3, multiplied the result by 4, subtracted 6, divided by 7, and got 2. What number did Lёnya think of?

Try to form an equation to determine the unknown number.

#
Let's denote the number thought of by Lёna as $x$. Then we can form the equation

$$
\{[((x+5): 3)-4]-6\}: 7=2
$$

By sequentially moving all numbers from the left side to the right, we get a new equation

$$
x=\{[((27)+6): 4] 3\}-5
$$

from which it is easy to determine that $x=10$. From this, it is also clear that to determine the thought number (which we denoted as $x$) we need to perform the inverse operations in reverse order on the number obtained by Lёna (i.e., 2).

## Answer

10.