Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number

A generic odd number can be written as

Since there is an odd number every two numbers, three consecutive odd numbers will be

Now let's make up the equations: the sum of the first two is

And 27 less than 3 times the largest is

These two must be the same, so we have

Subtracting 4k and 3 from both sides gives

Which means that the problem has no solution.

To confirm this hypothesis, we can observe that, on the left hand side, we have the sum of two odd numbers, which is even

On the right hand side, we have an odd number, multiplied by 3 (still odd), take away 27 (still odd).

So, the left hand side is even, and the right hand side is odd. They can't be the same number.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

just needed some points but try socratic