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.

Correct answer:

x =  10 ha

Step-by-step explanation:


x=a+b
a = 3b
a-2.5 = b + 2.5

x=a+b
a = 3·b
a-2.5 = b + 2.5

a+b-x = 0
a-3b = 0
a-b = 5

Row 2 - Row 1 → Row 2
a+b-x = 0
-4b+x = 0
a-b = 5

Row 3 - Row 1 → Row 3
a+b-x = 0
-4b+x = 0
-2b+x = 5

Row 3 - -2/-4 · Row 2 → Row 3
a+b-x = 0
-4b+x = 0
0.5x = 5


x = 5/0.5 = 10
b = 0-x/-4 = 0-10/-4 = 2.5
a = 0-b+x = 0-2.5+10 = 7.5

a = 15/2 = 7.5
b = 5/2 = 2.5
x = 10

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: