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Hey this is fresh towel Walker can you figure out the values of a B and C in this math problem the digits a B and C are all different from each other, and they are all positive numbers give this problem a try and when your ready keep watching the video for the solution well get started by focusing on the value for a when you add three two-digit numbers the most you can get to is in the 200s, so we know that at most a can have a value that's 2 on the other hand if we have a three-digit number a has to at least be 1 to be a positive number, so we've concluded that the value for an is either 1 or 2 now lets focus on the value for B look at the numbers were adding up in the units' column we have a plus B plus C is equal to a result of C in the units' column this can only happen if the values for a and B add up to something which have the units' digit of 0 in other words a and B need to add up to 10 so if an is 1 that means B is 9 and if an is 2 that means B is 8, so we basically have two different cases to consider we either have 11 plus 99 or 22 plus 88, so let's consider each case well first focus on 22 plus 88 22 plus 88 is 110 we add CC, and we end up with the result of 280 C since 110 has a zero and the units place anything we add to it C will give us the result of C so instead focus on the tens place we must have 1 plus C is equal to 8 we can solve this equation that C is equal to 7, so the possible candidate here is we have 110 plus 77, but that gets us to result of 100 and 87 we need the result to be 287, so this is not a solution and this case won't give us an answer so let's focus on the other possibility we have 110 plus CC equals 190 again looking at the units place won't give us anything because 0 plus C is always equal to C, so we look at the tens place here we have 1 plus C is equal to 9 this means C would be equal to 8 and then well try out this possibility 110 plus 88 equals 198 and this possibility works so to solve this equation we get the unique result that this is the answer 11 plus 99 plus 88 equals 198 did you figure it out thanks for watching this video please subscribe to my channel I make videos on math and game theory you can catch me on my blog mind your decisions which you can follow on Facebook Google and Patreon you can catch me on social media at pressure Locker and if you like this video please check out my books there links in the video description
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