A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
ate is $400 and the daily rate for each partner is $1300. The law firm assigned 2 more associates than partners to the case and was able to charge the client $4200 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.