Ultimately depends on the definition of "life being easy" and what constitutes a "problem" in this context.
If "life not being easy" is itself a problem, Then all problems have not been solved. Therefore, Granted "all problems have been solved, " it must be the case that "life is easy. "
The only caveat would be if "life being easy" is itself a problem, Resulting in a paradox, Where the statement could never be true.
If life were perfect, Then life would be dull and pointless. If you have a job, The things that make it interesting are problems. Without problems lots of jobs would go out of business being problem in itself. Life would have no purpose if it were a utopia. That's all.