Suppose we are given sending a message to two people: A and C. A and C have the same RSA encryption modulas: R=(some arbitrary number, say) 454564515456465465465156. But A and C have two different encryption exponents. Encryption exponent of A is: e1=58468767646 and for B is: e2=646545454. So we sent the message to both A and C with encrypted public keys: EA=545643545345343545345454654 for A and EC=46464646546546545646546546 for C.
How can we decrypt the message? Do note that I am self studying some cryptography and I completely made up the numbers above. I was thinking of using common modulas attack method but I am stuck in terms of knowing how to proceed. Any intution and explanation would be much appreciated. Any links for additional self study would be a plus. Thanks.