Find three consecutive odd integers such that the sum of the first and the third equals the sum of the second and 13.
how do you do this?
Odd intergers are 1,3,5,7,9,etc.,etc...
The equations are n+(2+n)+(4+n)=y and n+13=y
REMEMBER, odd numbers only.
So, let's try 5, 7, 9
5+7+9
12+9
21
Now, let's test out the second part of this problem.
13+7=21
20=21.
Wait a minute! 20 does NOT equal 21, so that doesn't seem right.
Try 3, 5, 7.
3+5+7=15
Test the second part of the equation.
5+13=15
18=15
Once again, incorrect. 18 does NOT equal 15.
try 7, 9, 11
7+9+11=27
Test the second part of the equation.
13+9=27
22=27
For the final time, INCORRECT. Therefore, there are no intergers that will work for that equation.
The three consecutive odd integers are \(11,13,15\). When you add the first and third numbers, \(11 & 15\), you get \(26\) and when you add the second number and 13 you get \(26\).