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### Instructions and Help about Will Form 2220 Consecutive

Hi today in this video of learn to make equations we have a new problem in this problem the statement says the sum of three consecutive numbers is 225 find the numbers so what are conjugated numbers suppose if I write natural numbers from the starting six and seven eight and suppose so on then these three numbers are consecutive or you can see these three numbers are consecutive the numbers which appear one after another without any gap they are called consecutive numbers similarly 4 5 6 they will also be consecutive numbers right and if we talk about 6 7 8 they are also consecutive numbers right so what can you say about consecutive numbers in consecutive numbers any number suppose if the group start from 2 3 4 this 2 3 4 is a triplet of 3 consecutive number then this 3 is actually 1 more than 2 right and this 4 is 1 more than 3 so any number is 1 more than its previous number and it is 1 less than its next number right so here we have learnt about the consecutive numbers and now let's concentrate on the problem statement and then we will make equations for this problem statement and then we will try and solve it so they are saying sum of three consecutive numbers is 225 so if we assume that first number of those three consecutive number is X what will be second number second number will be X plus one right so if first number is X second number will be X plus one and what can you see about third number third number will be one more than its previous number that is X plus one plus one which is X plus two right so I think we can directly write X plus two over here the number will be X plus two right so these will be three consecutive numbers and what they are saying they are saying the sum of three consecutive numbers is 225 that means if you add X plus the second number which is X plus 1 X plus 1 and then the third number which is X plus 2 this is equal to 225 right and now what we have to do we have to add all the like terms so here we have one two and three X's added to each other so we will have 3 x + 1 + 2 + 3 is equal to 225 right yes so what we get from here from here we will get 3x is equal to 225 minus 3 we have transposition this 3 or you can say if we subtract 3 from both sides we will get 3x plus 3 minus 3 will get cancelled equal to 225 minus 3 right so we will have 3x is equal to 225 minus 3 will be 222 that means X will be equal to 220 2/3 three ones are three three sevens are 21 and three fours are 12 so what we have got we have got X is equal to 74 right and now let's find those three consecutive numbers if we substitute X equal to 74 over here we will get the first number which will be 74 and if we substitute X as 74 over here in X plus 1 we will get 74 plus one that is 75 and the third number will be 74 plus two which is 76 right yes and now if you want you can add these three numbers and check if their sum is coming as 225 or not so if we add these three four plus five nine nine plus six 15 one carried forward three sevens is 21 plus 120 - right so their sum is coming as 225 so these are the three numbers which are consecutive the gap between them is 1 and their sum is 225.