Bubbling Cauldrons

Place our numbers into the cauldrons in ascending order – you can choose which cauldron each one goes in. However, if two numbers in one cauldron add up to a third number in that same cauldron, they bubble up and cause an explosion! This means that all the numbers, leave the cauldrons, and you must start all over again. Our goal is to find the largest number we can place in our cauldrons without them exploding… do you think you’re up for this daunting task?