BdMO National Higher Secondary 2014/1

[samiul_samin]

Rubai and Bidushi have some marbles.Bidushi told Rubai,"If you give me some marbles,I will return you two more marble than as many as you gave me."Rubai said,"Alright,I will first give you $6$ marbles."Then Rubai gave Bidushi $6$ marbles and Bidushi returned $8$ marbles to Rubai.Thus,after they have exchanged marbles $6$ times,Bidushi has no marbles left.Hiw many marbles did Bidushi have in the beginning?

[samiul_samin]

Hint

Bidushi is losing $2$ marbles every time.

Answer

$\fbox {12}$

Simillar Problem

BdMO National Primary 2014/3

Solution

In every time of exchanging marbles,Bidushi is losing $2$ marbles.
So,after exchanging marbles $6$ times,she will lose $6×2=12$ marbles.
The answer is $\fbox {12}$