An evaluation score X1 of a candidate using method 1 has a mean of 100 and a

Question:

An evaluation score X1 of a candidate using method 1 has a mean of 100 and a standard deviation of 12, while an evaluation score X2 of a candidate using method 2 has a mean of 100 and a standard deviation of 13. If the two evaluation scores are independent, what values of c1 and c2 can be chosen so that the combined score Y = c1X1 + c2X2 has a mean of 100 and a standard deviation of 10?