Question

The sum of three consecutive odd anumbers is 105. find them. let the numbers be n, (n + 2) and (n + 4)​

Answer 1

The sum of three consecutive odd anumbers is 105. find them. let the numbers be n, (n + 2) and (n + 4)

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33, 35 ,37

Explanation:

Explanation:First of all lets say the unknown numbers are

Explanation:First of all lets say the unknown numbers are x−2,x and x+2 .

+2 .We can represent it like this because the question says that they are consecutive odd numbers, and by definition they will differ by 2 each time

+2 .We can represent it like this because the question says that they are consecutive odd numbers, and by definition they will differ by 2 each timeBy summing these terms together, we can solve for

+2 .We can represent it like this because the question says that they are consecutive odd numbers, and by definition they will differ by 2 each timeBy summing these terms together, we can solve for x :105=x−2+x+x+2

105=3x

105=3x x=35

105=3x x=35 Now that we have x , we can say the the consecutive odd numbers are 35−2,35 and 35+2

35−2,35 and 35+2 , which are 33,35,37

Answer 2

Answer:

n+2+n+4+n+6= 105

3n+12= 105

3n= 105-12

3n=93

n= 93/3

n=31