Family parcels

The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel.

Final Answer:

x =  10 ha

Step-by-step explanation:

$$\begin{gathered} a=3b \\ a-2.5=b+2.5 \\ 3b-2.5=b+2.5 \\ 3\cdot b-2.5=b+2.5 \\ 2b=5 \\ b=\frac{5}{2}=2.5 \\ b=\frac{5}{2}=2.5 \\ a=3\cdot b=3\cdot 2.5=\frac{15}{2}=7.5\text{ha} \\ x=a+b=7.5+2.5=10\text{ha} \end{gathered}$$

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