# How many mangoes (minimum) was stolen?

+1 vote
159 views

Tom, Dick and Harry stole some mangoes from their neighbors garden.
Tom woke up in the middle of the night , ate one and took one-third.
Dick woke up a little later, ate one and took one third.
A few hours later Harry woke up, ate one mango and took one third.
In the morning they counted the mangoes, threw away one rotten mango
and divided the remaining mangoes equally.

How many mangoes had they stolen? There are many answers to this puzzle, try to find the minimum no. of mangoes they had stolen?

posted May 11, 2017

Let s be the total number of mangoes stolen then
The portions that remained after each of them took thier share
After Tom's share taken = s - 1 - ((s - 1)/3) = T
After Dick's share taken = T - 1 - ((T - 1)/3) = D
After Harry's share taken= D - 1 - ((D - 1)/3) = H

Here H = 3n + 1 ( because after throwing 1 the remaining mangoes were split among the three equally )

After some calculations it turns out that initially they had 79 mangoes.

Similar Puzzles

A woman goes shopping and buys
3 Bananas,
3 Mangoes
2 Pears,
6 Eggs,
2 Tomatoes,
a Cabbage and
How many pieces of fruit did she buy?

A pregnant wife is craving mango. The husband will pass 3 tribes to reach the mango tree and each time he pass them, he needs to give half of the mangoes he have. How many mangoes should the husband pick to bring home 3 mangoes for his wife?

+1 vote

For Rs.1 you get 40 Bananas.
For Rs.3 you get 1 Mango.
For Rs.5 you get 1 Apple.

Now you want to get 100 fruits for Rs.100.

So, How many Bananas, Mangoes and Apples will you buy ?

+1 vote

There are 5 mangoes and 6 bananas. In how many different ways can a selection of fruits be made if all fruits of same kind are numbered with different tags.