Is it possible to get the maximum value from a field and other fields corresponding to the same record?

i.e: Given a table with OrderNumber, CustId and total_Price, How do I get the highest total_price for every CustId and the Corresponding OrderNumber in a single query?

I´ve tried something like:
Select CustId, OrderNumber,max(total_price) from [Tablename] group by CustId

It returned the maximum value of "total_price" for every CustId, but the "OrderNumber" returned is not correct, given that in the source table the total_price for that Order_Number is not the same.

Tks