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Can you solve this problem without algebra?
The sum of two numbers is 464 and the difference is 212. What are the two numbers?
Let’s create a model for this problem. You are carrying some cash and are about to make a bet. If you win the bet you will end up with $464 and if you lose you will end up with $212. How much money do you have and how big is the bet.
Picture a number line with a point representing how much money you start with. 212 is to the left of the point and 464 is to the right of it. How does the starting amount of money relate to 212 and 464?
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