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What I'd like to do is show you guys how to find three consecutive numbers with the sum of 63 we're looking at in second of numbers the one thing I we think of as numbers that are right next to each other consecutive and if we're talking about odd numbers then we're obviously going to be skipping the even number so just an example of three consecutive odd numbers would be 5 7 & 9 however instead we want the sum and we would know some by our signal words is going to be a and them and we also know that that is obviously not going to give us 6 3 the sum of those three consecutive or gives us 21 so we have a little problem so to find out how to finding in second numbers 463 first of all we don't know where to start and what we so like if we don't know where to start we don't know the first number is we're always going to give that in variable which we leave labeled X now the next thing is I need to say alright well between my next number how much what is going to be my next consecutive number well consecutive odd number ups are so if I say a random odd number is X the next one is going to be well not 6 because 6 is even it'd be 7 so it's actually you have to go 5 plus 2 to get 2 by next odd number does that make sense so I'm actually plussing to to my next number so to represent that algebraically I'm going to say ax plus two would be my next number and then the next number I'm gonna have two plus two again so to get from five to nine I am chefs now plus four so I have X plus four let's just double check make sure this is sounds correctly so let's say x equals five 5 plus 2 is 7 5 plus 4 is 9 so this is the correct formula for three consecutive odd integers and if we're talking about the sum so therefore I'm going to write X plus X plus 2 plus X plus 4 equals 63 now I have three X's on the same side since they're on the same side I can combine them so I get that 3 X and now I have my two numbers on the same side of combine up equals 6 equals 63 now what we have there lovely two-step equation and everybody should be able to do two-step equations if you've watched my previous videos in in your sleep you always look at your variable you circle your variable and you say first I'm going to undo addition and subtraction by using inverse operation sense is being added to my variable I mean I'm going to subtract 6 on both sides by using the subtraction property of equality then have 3x equals 50 and 57 now I have my variable is x at five three so I need to divide by three therefore now I get x equals 19 so my three consecutive numbers is 19 the next one will be 91 plus two which is 21 and then 19 plus 4 is 93 so that's a 5 3 2 second numbers with a sum of 63

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