Let one number be
Let the other number be
ok, what are we told about x and y?
the sum of and twice is 24. "sum" means "add". so we have:
ok, what now? We want their product to be a maximum. call the product . product means to multiply, so we want:
.............(2) to be a maximum
so we have our constraint, which is equation (1), and we have the function we want to maximize, which is
now, we can take two routes to complete the question. which route we take depends on whether you can use calculus or not. so, can you?