will reward and medal. just need two equations let x= first number let x=2nd number equations
55.)find two consecutive odd integers whose sum is 628??
56.)find three consecutive integers whose sum is -1,230
57.)find three consecutive integers whose sum is -198
58.)find three consecutive odd integers whose sum is 339
59.)find three consecutive even integers whose sum is 342?

- anonymous

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- jim_thompson5910

55.)find two consecutive odd integers whose sum is 628
let x = first number
so x+2 is the next consecutive odd integer
adding them and setting the sum equal to 628 gives us
x+x+2 = 628
2x+2 = 628
2x = 628-2
2x = 626
x = 626/2
x = 313
x+2 = 313+2 =315
Therefore, the two integers are 313 and 315

- anonymous

thanks @jimthompson

- jim_thompson5910

you're welcome

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## More answers

- anonymous

@jimthompson would u like to have medal or no??? your choice

- jim_thompson5910

either way is fine

- anonymous

help w/next one just need two equations u use to solve???? i can rest

- jim_thompson5910

find three consecutive integers whose sum is -1,230
let x = first integer, so x+1 is the next consecutive integer and x+2 is the next one
add them up, set them equal to -1230 to get
x+x+1+x+2 = -1230

- anonymous

3x+5=1230

- anonymous

right? @jim_thompson5910

- jim_thompson5910

close

- jim_thompson5910

x+x+1+x+2 = -1230
3x+3 = -1230

- jim_thompson5910

keep going

- anonymous

x=409 for first x what do i do for 2nd x and 3rd x?

- jim_thompson5910

3x+3 = -1230
3x = -1230-3
3x = -1233
x = -1233/3
x = -411

- jim_thompson5910

x = -411
x+1 = -411+1 = -410
x+2 = -411+2 = -409
so the three integers are: -411, -410, -409

- anonymous

thanks. help w/ next one???

- anonymous

I may be able to help u with the next one, once you share the problem with me.

- jim_thompson5910

I'll set it up, but let you finish

- anonymous

ok

- anonymous

okay jim then you can take over. I won't bump in.

- jim_thompson5910

57.)find three consecutive integers whose sum is -198
x = first number
x+1 = next consecutive number
x+2 = next consecutive number
add up the 3 numbers and set it equal to -198
x+x+1+x+2 = -198
solve for x
and tejeshwar95, you can help as much as you want

- anonymous

well, okay... but it seems to me that you got this. but will ask away whenever u need help

- anonymous

how do u do the just x one/????

- anonymous

1st step on equation??????

- anonymous

Just add the three numbers that is x + x +1 + x + 2 = -198

- anonymous

When you ask for the first step, that is where the question ends.

- anonymous

practically speaking.

- anonymous

if i could id give u both a best response u guys have been sooo much help

- anonymous

who would rather have a best response more??? if u care

- anonymous

Do u want another question like this for practice sake?

- anonymous

58 and 59 idk how to set up three equations that's all i need?

- anonymous

Give it to the other guy, he is the main guy, I merely butt in so.... I don't really deserve it.

- anonymous

couldone of u hep with 58 and 59??

- anonymous

Okay, this is really easy.
Assume a number x

- anonymous

now count the distance between two odd numbers
lets say the odd numbers are 1 and 3

- anonymous

now try to form the equation. Its okay to do it wrong, but its important to do it.

- anonymous

please @tejeshaw95 look at how @jimthompson explained it u don't make any sense to me?????

- anonymous

if u just gave me equations w/out explaining it. that's NOT cheating

- anonymous

okay. Lemme explain it in a bit more detail. I was actually hoping you would take the hint and run with it. But, its okay.
well,
lets assume that the odd numbers we are talking about are 1,3,5. Now, these are what are called consecutive odd numbers.
now see the difference between two consecutive odd numbers.
3-1 = 2
5-3 = 2
Now we all know that 1+3 + 5 is not = to 339.
So, now, lets assume the first number to be x. So, the number following it would be x + 2 since that is the difference or gap between two consecutive odd numbers. And the odd number after the 2nd odd number which was x+2 is x+2+2 which is x+4.
So, now we add em
we get x+ (x+2)+(x+4)
now, the sum of these three numbers is 339. So, now u solve the equation.

- anonymous

Consecutive means one after the other. so three consecutive numbers can be 1,2,3. Two consecutive even numbers can be 0,2,4 and two consecutive odd numbers can be 1,3,5.

- anonymous

3x+1+5=339 ??????

- anonymous

2nd equation above could it be written that way??

- anonymous

you are technically wrong but, right.
actually it should've been 3x+2+4

- anonymous

Lemme give you something easier to help u understand the concept.
Find three consecutive numbers whose sum is 6.

- anonymous

I got 111 please help w/1st and third equation. 2+2+2=6 Are u allowed to just give me 1st and third equation????

- anonymous

If I give you the equation, the question reaches its end. The trick lies in forming the equation.
No, consecutive doesn't mean the same numbers. It has to be three different numbers.

- anonymous

2+3+1

- anonymous

yes. that is correct.

- anonymous

how does that help w/58???? or 59

- anonymous

because it is the basic concept that allows you to solve the question.
You are too focused on finding the answer to the question to such an extent that you are missing out the underlying concept.

- anonymous

I am giving you the concept so u can solve millions of such problems without any help, and trust me that is a great feeling.

- anonymous

I know the problem and how many answers u need to find. and I know how to solve equations. I just don't know what the equations are. I understand what ur saying. its just like when jimjohnson helped iwas learning and starting to understand he gave me equations and step by step and I was starting to get it.. now u wont imstarting to not comprehend as well

- anonymous

I have 5 more questions after I get 58 and 59 understood

- anonymous

please reply????? @teleshaw95

- anonymous

@tejeshwar95 plz reply?

- anonymous

Oh, I see what you want.
58.)find three consecutive odd integers whose sum is 339
let x = first number
so x+2 is the next consecutive odd integer
and x+4 is the odd integer after that
adding them and setting the sum equal to 628 gives us
x + (x+2) + (x+4) = 339
x + x + x + 2 + 4 = 339
3x = 339-2-4
3x = 333
x = 111
x = 111
x +2 = 111+2 =113
x + 4 = 111 + 4 =115

- anonymous

oh btw u got x right. Now you just gotta add the 2 for the second number and 4 for the third number.
Sorry, my bad, I hadn't calculated the answer then.

- anonymous

that explaining was perfect all I need is equation 1st line tho per equation.. 59??? do same way pleaseeeeee???????

- anonymous

okay

- anonymous

asap pleaseeee

- anonymous

59.)find three consecutive even integers whose sum is 342?
let x = first number
so x+2 is the next consecutive even integer
and x+4 is the even integer after that
adding them and setting the sum equal to 342 gives us
x + (x+2) + (x+4) = 342
x + x + x + 2 + 4 = 342
3x = 342-2-4
3x = 336
x = 112
x +2 = 112 +2 =114
x + 4 = 112 + 4 =116

- anonymous

I got 112 and 116 what did x=?

- anonymous

x = 112,
x+2 = 114,
x +4 = 116

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