Two brothers

The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get?

Correct answer:

a =  10350 m²
b =  8280 m²

Step-by-step explanation:

$$\begin{gathered} S=18630{\text{m}}^2 \\ {r}_1=\frac{5}{5+4}=\frac{5}{9}\doteq 0.5556 \\ {r}_2=1-r_1=1-\frac{5}{9}=\frac{1\cdot 9}{9}-\frac{5}{9}=\frac{9}{9}-\frac{5}{9}=\frac{9-5}{9}=\frac{4}{9}\doteq 0.4444 \\ a=r_1\cdot S=\frac{5}{9}\cdot 18630=\frac{5\cdot 18630}{9}=\frac{93150}{9}=10350{\text{m}}^2 \end{gathered}$$

$b=r_2\cdot S=\frac{4}{9}\cdot 18630=\frac{4\cdot 18630}{9}=\frac{74520}{9}=8280{\text{m}}^2$

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