top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

How many acres of land did the farmer originally have?

+1 vote
222 views

As per the will of a late farmer, his property would have to be divided in the following way.
The eldest got half of the land and an added 2 acres. Second son received half of the remaining land plus 2 acres. Third son got half of the remaining +2 acres. But as the fourth son took half of the remaining plus 2 acres of land, there was nothing left for the fifth son.

How many acres of land did the farmer originally have?

posted Sep 11, 2015 by Deepak Chitragar

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

60 acres
Total land = x acres
1st son = 1/2 * x + 2 acres......................................................Left = 1/2 * x - 2
2nd son = 1/2 * (1/2 x - 2) + 2 = 1/4 * x + 1 acres................Left = 1/4 * x - 3
3rd son = 1/2 * (1/4 * x - 3) + 2 = 1/8 * x + 0.5 acres...........Left = 1/8 * x -3.5
4th son = 1/2 * (1/8 * x - 3.5) + 2 = 1/16 * x + 0.25 acres...Left = 1/16 * x -3.75 = 0
Thus, x = 3.75 * 16 = 60 acres

answer Sep 11, 2015 by Jcm



Similar Puzzles
0 votes

There are three kids and each one have some pencils. The first kid gave the second and third as many pencils as they each already had. Then, the second gave the first and third as many as they each had. Still later, the third gave the first and second as many as they each already had. Each kid now have 24 pencils.

How many pencils did each kid have originally?

+2 votes

A rich farmer died leaving behind a hundred acres of his farm to be divided among his three daughters Rashmi, mala, rekha -in the proportion of one-third, one-fourth and one-fifth. But Rekha died unexpectedly.
Now how should the executor divide the land between Rashmi and Mala in a fair manner?

+1 vote

You've bought your weekly egg supply at the local farm store. The first morning you have company for breakfast and use half the eggs plus one-half an egg. The next morning you use one-half of what's left plus one-half an egg. The third morning you use one-half of what's left plus one-half an egg, and on the fourth morning, you're down to one solitary egg, so you make French toast. In all this cooking, you've never had one-half an egg to carry over to the next day.
How many eggs did you buy originally?

0 votes

Two farmers are on their way to market to sell their sheep. One says to the other "Sell me one of your sheep and then we will have the same number" to which the other replies, "No, you sell me one of yours and then I will have twice as many as you". How many sheep did each farmer have?

0 votes

Two farmers brought a total of 100 eggs to market. Each farmer set a different price to sell his eggs–farmer 1 selling each egg at a price of a and farmer 2 selling each egg at a price of b. After selling all eggs, each farmer received as much money as the other.

The first farmer remarked, “If I had sold your eggs at my price, I would have gotten 15 coins.” The second farmer replied, “If I had sold your eggs at my price, I would have gotten 20/3 coins.”

How many eggs did each farmer sell?

...