Question

Find three consecutive odd integers such that their sum is five more than four times the largest integer.

Answer 1

Yeah convert english to math is what is being taught here.
three consecutive odd numbers means they come in order, (3,5,7)
so let's say the first number is o
we have o, o+2, and o+4
(if o = 3, then 3+2 = 5, 3+4 = 7, it's every other number)

"their sum is fire more than four times the largest integer"
so, what's the largest integer??? o+4 right?
their sum is o + o+2 + o+4 = 3o+6

so (3o+6) is five more than four times (o+4)

(3o+6) = 5 + 4(o+4)
solve for o

Answer 2

you can write the 3 odd integers as
2x+1 , 2x + 3 and 2x + 5

Answer 3

oh I see, so instead of writing o, which gives the possibility that o can be even
you write 2x+1 to make sure it's odd! good catch

Answer 4

yes

Answer 5

In the book, I am getting the answers of -15, -13, and -11 clearly confused.

Answer 6

2x + 1 + 2x + 3 + 2x + 5 = 4(2x + 5)+ 5

Answer 7

6x + 9 =8x + 25
-16 = 2x
x = -8

so first number = 2(-8) + 1 = -15

Answer 8

Thank you very much @welshfella , and @LannyXX!

Answer 9

yeah!