SOLUTION: the sum of consecutive number is 30 find the number ?

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Question 507481: the sum of consecutive number is 30 find the number ?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Two consecutive numbers can be defined as 'x' and 'x+1'.
x +x+1 = 30
2x +1= 30
2x = 29
x = 14.5, which is not an integer
.
Two consecutive even numbers can total 30.
The numbers can be defined as 'x' and 'x+2'.
You use '+2' to skip over the odd number in between.
By inspection, you can guess the numbers are 14 & 16, but the solution using algebra follows the method shown above.
.
x +x+2 = 30
2x +2 = 30
2x = 28
x = 14
.
x+2 = 16
.
Done.