Question 252073: Find three of the consecutive integer whose sum is equal to six. List answers from least to greatest?
Found 2 solutions by drk, MRperkins:
Answer by drk(1908)   (Show Source):
You can put this solution on YOUR website! Let n be the first integer, n+1 be the second, and n+2 be the third integer. The sum of these three is n+n+1+n+2 = 3n + 3. This sum must equal 6. So, we have
n+n+1+n+2 = 6
3n + 3 = 6
3n = 3
n = 1
We have our three consecutive integers in order as 1, 2, 3.
Answer by MRperkins(300)  (Show Source):
You can put this solution on YOUR website! You can either think about this and try a couple of numbers OR you can learn how to do this algebraically.
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consecutive numbers mean that you have a number, then you have the next number, and the next number, and so on...
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Any number can be represented by a letter. Since we are talking about numbers, and numbers starts with the letter "n", lets call our number n.
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In order to have 3 consecutive numbers where n is one of the numbers, we need the number after n. We can add 1 to n to get the number after n. Therefore, the number after n is represented by n+1.
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We can do the same thing to find the number after n+1. We simply add 1 to find the next number, so the 3rd consecutive number is 1 more than n+1 or simply n+2.
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We know that the first number plus the second number plus the third number is equal to 6. So let's write our numbers just like what we just said. n+(n+1)+(n+2)=6
We can drop the parenthesis in this case because everything is being added and there is no multiplication or exponents. So we have
n+n+1+n+2=6
3n+3=6
3n=3
n=1
now we plug this number in for n and find out our 3 numbers.
remember, the first number was n so it is 1
the second number was n+1, so it is 2
the third number was n+2, so it is 3.
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I hope this helps and clears things up for you. This is actually a problem that can be guessed in your head, but if you learn the fundamentals of what I just explained, then you will be able to take on the more difficult problems as well.
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Do you want your math questions answered quickly and completely? Do you want to ask follow up questions like, “How do you do that?” or “Why did you do that?”? Email your questions to justin.sheppard.tech@hotmail.com and I will answer your questions within 12 hours of submission (usually within 2-3 hours of submission). I charge $2 per question and I will provide a .pdf file of the problem worked out. I will also offer to discuss the problem with you over the phone, through skype, or via an online whiteboard. Payments to be made securely through PayPal AFTER you are satisfied with the answer and services that I provide. This eliminates the possibility of being scammed (worst case scenario is that I provide you with your answer and you don’t pay me).
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Respectfully,
Justin
justin.sheppard.tech@hotmail.com
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