Don't just take my "anecdotal" word for it. More and more, neuroscience is backing up the anecdotal evidence of many a musician: learning to play an instrument has positive, identifiable effects on the brain.
When my friend's teenage daughter was learning piano, she found that when she spent time studying another language, her skill at the piano was markedly increased. This should come as no surprise since both disciplines are handled by the same areas of the brain. This may also explain my shocking sudden aptitude for Mandarin after only 6 months of learning piano. Perhaps not everyone will experience such dramatic results, but the science is proving what the title from the TED-Ed video below suggests: