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Teresa, RD starts with numbers that have a difference of 9; 1 and 10, 2 and 11 and so on, looking for a pair with the sum of 43. Another approach is to start with numbers that have a sum of 43 and look for a pair with a difference of 9. Half of 43 is 21 ^{1}/_{2} which is not a whole number but is half way between 21 and 22, and 21 + 22 = 43. Thus my first guess is 21 and 22. But their difference is only 1 so try 20 and 23, then 19 and 24 and so on. I like these problems at your son's level. Practice with the trial and error (some teachers call it guess and check) will help you son gain some number sense. Harley
Hi Teresa. Sum: Let's say you start with one number and add a second number to it. You go "up" by that much. This means that the original number must be exactly in the middle of the sum and the difference ! That's also called the average of the two numbers? Do you know how to find the average? Add the two numbers together, then divide in half. Once you know the "middle" number, you can just reduce it by the difference amount to find the other number. For example, you asked "Find two numbers whose sum is 43 and whose difference is 9." Well, I know one number is the average of these. So I can add 43 + 9 = 52 and then divide in half: 52 / 2 = 26. So one number is 26. The difference between the numbers is 9, so that means I can go up or go down by 9. Which one works? Hope this helps,  


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