Question 1178076
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The sum of three consecutive odd numbers is 51


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Let the numbers be  (x-2),  x,  (x+2).



Then the sum is    (x-2) + x + (x+2) = 3x.



The equation is           3x = 51.



The solution  is     x = 51/3 = 17.



The &nbsp;<U>ANSWER</U> &nbsp;is:  &nbsp;&nbsp;the numbers are  &nbsp;15, &nbsp;17, &nbsp;19.




<U>The lesson to learn:</U>  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the sum of three consecutive odd integer numbers is thrice the middle number.



<U>The other lesson to learn</U>:  &nbsp;&nbsp;&nbsp;&nbsp;if the sum of three consecutive odd integer numbers is given, &nbsp;then the middle number is one third of the sum.




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