Find three consecutive odd integers such that the sum of the​ first, two times the second and three times the third is 82. A) 6x + 8 = 82
B) 6x + 16 = 82
C) 3x + 3 = 82
D) 3x + 6 = 82

B) 6x + 16 = 82

Note: I just kept my wrong approach.

Step-by-step explanation:

Let first define an odd integer.

Considering , is an odd integer.

Now, three consecutive odd integers are , and

The sum of the​ first, two times the second and three times the third can be written as

Expanding and simplifying

This is what I have done initially, but considering to be an odd integer, three consecutive integers can be written as

such that

Therefore,

and

The three consecutive odd integers such that the sum of the​ first, two times the second and three times the third is 82 are

$15 each

step-by-step explanation:

$45/3 children= $15 each