The area of a field sown with wheat is 2 times larger than that of oats. The next year, the area for wheat

The area of a field sown with wheat is 2 times larger than that of oats. The next year, the area for wheat was increased by 20%, and for oats by 15%, after that the total area increased by 11 hectares. Find the area of the field planted with wheat and oats for the next year.

To solve this problem, we introduce two conditional variables “X” and “Y”, through which we denote the areas of fields sown with wheat and oats, respectively. Then, based on the data of the problem, we will compose the following equations: 1) X = 2Y; 2) 1.2X + 1.15Y = X + Y + 11. Solving a system of two equations with two unknowns, we get 1.2 x 2Y + 1.15Y = 2Y + Y + 11 or 2.4Y + 1.15Y = 3U + 11 or 3.55U = 3U + 11 or 0.55U = 11 or U = 20 ha. This means that X will be equal to 2 x 20 = 40 hectares. Consequently, the area of the field sown with wheat and oats for the next year will be equal to 1.2 x 40 + 1.15 x 20 = 71 hectares.
Answer: 71 hectares.