Chocolate Theft

Algebra Level 3

3 boys stole a basket of chocolates and hid the chocolates.They counted the chocolates which were less than 100. Then they went to sleep.In the night the first boy woke up and saw that if he ate 1 chocolate then the remaining could get divided into 3 equal parts. So he ate 1 and took 1/3rd of the remaining and kept it separately. Then the second boy woke up. He also ate 1 chocolate and took 1/3rd of the remaining and kept it separately.Then the third boy woke up and followed the same procedure.In the morning when they counted then they observed that the remaining chocolates were too in the form \(3n+1\). Find the original number of chocolates stolen.

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