Question

Find three consecutive integers such that the first increased by twice the second is 24 more than the third.

Answer 1

first off you will need a way to represent three consecutive integers with one variable
any idea how to do that?

Answer 2

We are normally good with these problems, but the wording messed us up. So, we could find the numbers if someone could help us find out what we need to do.

Answer 3

Like I say, the fist step is to say "how can I represent this without 3 variables, because we are talking about 3 different numbers"

But they are consecutive, so we can write them in a special way.
n
n+1
n+2
that is how we will talk about our first number, second number and third number...

Answer 4

Hmmm.... We are going to try the problem again, because we got a non- integer too.

Answer 5

ok so we have three consecutive integers right

Answer 6

just like turing pointed out above n,n+1,n+2

Answer 7

Yes, we just don't understand why it said that the second is 24 more than the third. That lost us.

Answer 8

is means equals

Answer 9

24 more than the third means 24+third integer

Answer 10

the third integer here is n+2

Answer 11

so the second part of the equation is
=24+(n+2)

Answer 12

Okay that makes more sense.

Answer 13

so you have the first part of the equation?

Answer 14

can you tell me what it is?

Answer 15

So, we are going to take a guess right now because one of us is writing this out while one of us is typing. Okay, So, since the second part is = 24 (n+2) then would that mean that the whole thing is 2n(n+1)=24(n+2)?

Answer 16

oh no

Answer 17

the second part is =24+(n+2)

Answer 18

not =24(n+2)

Answer 19

Okay, Sorry we forgot the +
^^;;;

Answer 20

the first part of the equation is
first integer + 2(second integer)

Answer 21

So, umm..
n+2(n+1) = 24+(n+2)?

Answer 22

yep yep

Answer 23

Oh! Okay! 8D

Answer 24

So you are good at solving these?

Answer 25

We normally can, we just had a issue with the figuring of the equation. The wording was odd to us. We could solve it and then post it?

Answer 26

ok awesome

Answer 27

n+2(n+1)=24+(n+2)
n+2n+2= 24+n+26
3n+2=50+n
-n -n
________________
2n+2=50
-2 -2
________________
2n=48
/2 /2
________________
n= 24

Answer 28

one sec while i check

Answer 29

n+2(n+1)=24+(n+2)
n+2n+2= 24+n+26 <---- how did you get this 26
3n+2=50+n
-n -n
________________
2n+2=50
-2 -2
________________
2n=48
/2 /2
________________
n= 24

Answer 30

24+2
We added there.

Answer 31

oh

Answer 32

lol

Answer 33

wait

Answer 34

why did you leave 24 there?

Answer 35

after adding the 2

Answer 36

24+(n+2)
24+n for one
And 26 for the other
So you have 24+n+26

Answer 37

No you do not "distribute" with addition, only with multiplication.

Answer 38

so we have
24+(n+2)
is the same as
24+n+2
24+2+n

Answer 39

So, we should have done the second one we did.
n+2(n+1)=24+(n+2)
n+2n+2= 24+n+2
3n+2=26+n
-n -n
________________
2n+2=26
-2 -2
________________
2n=24
/2 /2
________________
n= 12

Answer 40

yes great! :)

Answer 41

We mean we should have gone with.

Answer 42

^^!
Thank you very much for helping us out!

Answer 43

no problem
thanks for wanting to learn and not just wanting the answer
thats really cool

Answer 44

I just became your fan. :)

Answer 45

No problem. We are always interested in the way things work. :)
We'll return the favor!
And if you ever need help in things like History and English those are our best subjects.
Hopefully we can get around to helping more since we just got on. ^^
Thank you again!

Answer 46

Great! Happy Holidays!

Answer 47

You too! And a Happy New Year!

Answer 48

You too! lol