Question 1186311
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the sum of three consecutive number is 18.  {{{highlight(Find_the_numbers)}}}.
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<pre>
The numbers are (n-1), n, and (n+1).


Their sum is  (n-1) + n + (n+1) = 3n


We are given  3n = 18.


Hence,  n = 18/3 = 6.


So, the numbers are  5, 6, 7.


Check their sum:  5 + 6 + 7 = 18.   ! Correct !.


You just found the numbers, and the problem is just solved (!)
</pre>

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Memorize this method (!)


Its idea is to consider the numbers &nbsp;AROUND &nbsp;the &nbsp;CENTRAL &nbsp;number.


Then you easily obtain that this central number  is exactly one third of the sum.


As soon as you know it - - - you just know all three terms and the entire sequence &nbsp;(&nbsp;!&nbsp;)


It is how &nbsp;MATH &nbsp;helps you solve problems &nbsp;CORRECTLY, &nbsp;quickly and elegantly &nbsp;(&nbsp;!&nbsp;) &nbsp;(&nbsp;!&nbsp;)



Happy learning with us &nbsp;(&nbsp;!&nbsp;)



Come again soon &nbsp;(&nbsp;!&nbsp;)



Next time, &nbsp;do not forget to ask your question in your post.


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To see many other similar and different solved problems, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Problems-with-consecutive-odd-even-integers/Problems-with-consecutive-odd-even-integers.lesson>Problems with consecutive integer numbers; odd even consecutive integer numbers</A>

in this site.