Question

You can represent and odd integer with the expression 2n + 1, where n is any integer. write and solace and equation to find three consecutive odd integers that have a sum of 63.
please help ASAP!!!

it’s number 15

Answer 1

As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5.  Adding these three together and setting them equal to your sum gets the equation

 2n + 1 + 2n + 3 + 2n + 5 = 63

 Combine like terms and solve For n.

Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.  

 

Hope this helps :)