Ajay had N coins with him and he gave one more than half the number of coins with him to balu and then gave two more than one third of the remaining number of coins to chintu. If N is a two digit number, how many distinct values can N assume ?

Hi,

After doing the operations, Ajay will have (2N-16)/6 coins left with him which must be a positive integer. First such 2 digit number will be 11. The next values will be 14, 17, 20 and so on. In this series, 2 digit numbers will be 30.

Hope this answers your query.