Suppose b and c are positive integers. When b^2 is written in base c, the result is 121_c. When c^2 is written in base , the result is 71_b. What is b+c?

b + c = 15.

Some of you question is missing.

To put a little flesh on Guest#1'sanswer, and assuming the question is

"When b^2 is written in base c, the result is 121_c. When c^2 is written in base b, the result is 71_b."

we have: