Men And Mangooooes!!

Level pending

There were some mangoes in a basket. There are 3 people who will share these mangos eqally among them. First person divided these mangoes in 3 equal sheres and took one of the sheres. The second person, with remaining mangoes, makes three sheres out of which two were equal and third shere contain one extra mango.He took third shere. Then third person takes all the remaining mangos. How many mangoes were there initially.


The answer is 6.

Vivek Kumar by Vivek Kumar , 23, India

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1 solution

Let in the three sheres by second person is x, x, and x+1. Total = 3x+1, which is 2 3 \frac{2}{3} of the total mangoes. Let the total mangoes is y.
2 3 y = 3 x + 1 \frac{2}{3}y = 3x+1
y = 9 x + 3 2 y = \frac{9x+3}{2}
Asumming the total is the minimum number of mangoes, then x=1.
y = 9 ( 1 ) + 3 2 = 6 y = \frac{9(1)+3}{2} = \boxed{6}


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