Old Man's Mangoes

Algebra Level 3

An old man who had 3 sons.
He brought a basket which had mangoes.
He kept it in his room and went out to work. His first son saw those mangoes and ate one and took 1/3rd of the mangoes from the basket. After some time the second son saw the basket containing mangoes. He also did the same, ate one and took 1/3rd of the mangoes. Later the third son came and did the same, Ate a mango and took 1/3rd of the mangoes. After an hour or so the old man came and saw the basket. There were only few mangoes, so he distributed the mangoes equally to all his three sons.
How many mangoes did he bring?


The answer is 25.

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1 solution

The correct answer is 25. If u try any other number you will get the answer in fraction which is not possible.
Total = 25
First son ate 1 so 24 and took 1/3rd that is 8 mangoes.
Remaining mangoes are 24 - 8 = 16
Second son came ate 1, so mangoes left are 15. He took 1/3rd i.e, 5
So remaining are 15 - 5 = 10
The third son came and did the same ate one. Therefore remaining = 9
And took 1/3rd of the mangoes so 9 - 3 = 6
There were remaining 6 mangoes left.
So the old man distributed it equally to all his three sons. :)


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