I'll represent the smaller number with the variable 'n'. Now, how much larger must the second number be?
The consecutive odd integers starting at 1:
1,3,5,7,9,11,13...
You can see that each number is two more than the last number. Therefore, we know that the larger number must be 2 more than 'n', or n+2. Finally, use the last piece of information that you are given to solve the problem.
1st number + 2nd number = 130
n + n+2 = 130
2n + 2 = 130
2n + 2 - 2 = 130 - 2
2n = 128
2n/2 = 128/2
n = 64
This is the first number, and so we know that because the second number is 2 more than the second number, the second number must be 64+2, or 66.
n+2 = 64 + 2
n + 2 = 66
The two integers are 64 and 66
You can check to see if this is correct.
64 + 66 =? 130
130 = 130
This is correct.
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There are no three consecutive odd integers who's sum equals 13.
The two odd integers are 57 and 59.
17 (odd integer) + 19 (odd integer) = 36 17 and 19 are consecutive odd integers.
Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.
The integers are 15 and 17.