What is a whole number that is between 740 and 760 which has digits that add up to 17?

Well, isn't that a happy little math problem! Let's see here... ah, I see it now, how delightful! The number you're looking for is 749. It's nestled right between 740 and 760, and its digits 7, 4, and 9 add up to 17. Happy counting, my friend!