Question

В трех комнатной квартире площадь первой комнаты равна 18м2, а площадь второй -на 7 м2 больше, чем первой. площадь этих двух комнат на 19 м2 больше площади третьей комнаты. чему равна площадь третей комнаты?

Answer 1

1) 18+7=25 (м2) вторая комната
3) 18+25= 43 (м) первая и вторая комната
3) 43-19=24 (м2) третья комната
или 18+ (18+7)-19= 24 (м2)
Ответ: 24 м2 площадь третьей комнаты

Answer 2

Problem Analysis

We are given a three-room apartment, and we need to find the area of the third room. The first room has an area of 18m², and the second room is 7m² larger than the first room. The combined area of the first and second rooms is 19m² larger than the area of the third room.

Solution

Let's denote the area of the first room as x.

According to the given information, the area of the second room is 7m² larger than the first room. Therefore, the area of the second room is x + 7.

The combined area of the first and second rooms is 19m² larger than the area of the third room. So, the combined area of the first and second rooms is x + (x + 7) = 2x + 7.

We can set up the equation: 2x + 7 = x - 19.

Simplifying the equation, we get: x = -26.

Since the area cannot be negative, we discard the negative solution. Therefore, the area of the first room is x = 26m².

The area of the second room is x + 7 = 26 + 7 = 33m².

Finally, the area of the third room is the combined area of the first and second rooms minus 19m²: (26 + 33) - 19 = 40m².

Answer

The area of the third room is 40m².