Tourists covered the entire route in three days. On the first day, they covered a third of the entire path

Tourists covered the entire route in three days. On the first day, they covered a third of the entire path, and on the second day, 4/9 of the entire path, and on the third day, the remaining 24 km. How long is the entire route?

Let the length of the route be (x) km. On the first day, tourists covered 1/3 of the way or (1/3) * x km, on the second day 4 \ 9 of the entire path or (4/9) * x km, on the third day 24 km. For three days, tourists have passed (x / 3 + (4x) / 9 + 24) km or x km. Let’s make an equation and solve it.
(x / 3 + (4x) / 9 + 24 = x;
(3x) / 9 + (4x) / 9 + 24 = x;
(3x) / 9 + (4x) / 9 – x = -24;
(7x) / 9 – x = -24;
(-2x) / 9 = -24;
x = -24: (-2/7);
x = 24 * 7/2;
x = 84 (km).
Answer. 84 km.