User A and B want to use RSA to communicate securely

User A and B want to use RSA to communicate securely. A chooses public key  as (7, 119) and B chooses public key as (13, 221). Calculate their private  keys. A wishes to send message m = 10 to B. Produce the ciphertext.  Formulate the key using which A encrypt the message “m” if A need to  authenticate itself to B.