Question

один из хозяев равных по площади смежных участков решил купить у другова 2 га земли.в этом случае площадь участка продавца составит 3/4 площади участка покупателя.какова первоначальная площадь каждого участка?

Answer 1

(х-2)/(х+2)=3/4
4(х-2)=3(х+2)
4х-3х=6+8
х=14 га площадь

Answer 2

Calculating the Initial Area of Each Plot

To calculate the initial area of each plot, we can use the given information that one of the owners of the adjacent plots decided to buy 2 hectares of land from the other owner, resulting in the seller's plot being 3/4 of the buyer's plot.

Let's denote the initial area of the buyer's plot as A and the initial area of the seller's plot as B.

According to the given information, the seller's plot after selling 2 hectares will be 3/4 of the buyer's plot. Mathematically, this can be represented as:

B + 2 = (3/4)(A - 2)

Where: - B + 2 represents the seller's plot after selling 2 hectares. - (3/4)(A - 2) represents 3/4 of the buyer's plot after buying 2 hectares.

Let's solve for the initial areas of each plot using this information.

Solving for the Initial Area of Each Plot

To solve for the initial areas of each plot, we can use the given equation and algebraic manipulation.

B + 2 = (3/4)(A - 2)

Expanding the right-hand side of the equation: B + 2 = (3/4)A - 3/2

Bringing all terms involving A to one side and all terms involving B to the other side: (3/4)A - B = 7/2

This equation represents the relationship between the initial areas of the two plots.

Conclusion

The initial areas of the plots can be calculated using the equation (3/4)A - B = 7/2. This equation represents the relationship between the initial areas of the two plots before the sale of 2 hectares.