Question

When a rich man dies, he leaves his land to his sisters and wife. the eldest sister gets 2 acres more than then middle sister, and the youngest sister gets 2 acres less than the middle sister. the wife gets the same amount of land as the youngest sister. if the man gave away 50 acres, how many acres did his wife get?

Answer 1

his wife got 14 acres of land

Answer 2

Answer:

Step-by-step explanation:

Let middle sister gets x acre of land .

Since we are given that  the eldest sister gets 2 acres more than then middle sister

Thus elder sister  gets x+2 acres of land.

Since the youngest sister gets 2 acres less than the middle sister

Thus youngest sister gets x-2 acres of land

We are also given that wife gets the same amount of land as youngest sister gets i.e. x-2 acres of land

Since the man gave 50 acres

⇒x+2+x+x-2+x-2  =50

⇒4x+2=50

⇒4x=48

⇒x=12

Thus middle sister gets 12 acres of land

Elder sister  gets x+2 = 12 +2 =14 acres of land

Youngest sister gets x-2 = 12-2 =10 acres of land

Thus wife gets 10 acres of land as she gets same amount of land as youngest sister gets.

Hence wife gets 10 acres of land