The sum of two consecutive integers is at most 223.
What is the larger of the two integers?

- anonymous

The sum of two consecutive integers is at most 223.
What is the larger of the two integers?

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- anonymous

@UnkleRhaukus

- MrNood

it can be any 2 integers (up to a certain level) because it tells you that the sum is AT MOST 223
for instance 1 & 2
2 & 3
18&19 all satisfy that inequality.
In general if you have an interger x then the next integer is x+1
so the sum of 2 consecutive integers = 2x+1
you can use that to find the LARGEST possible number (but that is not what the question asks..)

- anonymous

SO 3?

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- MrNood

no
as i said for instanc 18&19
but also 100 & 101
READ what I said

- anonymous

OK so what you just posted is 100 and 101.. The larger is 101

- MrNood

you have missed the point
What about 101 & 102 ?
Have a little think before you post next

- texaschic101

x + x+ 1 <= 223

- MrNood

Did you type the question exactly as written?

- anonymous

How am I missing the point?? The LARGER is the higher number....Therefore out of 102 its 103

- anonymous

And yes I did!

- MrNood

what about 103 & 104
have a think and read teh question

- texaschic101

x + x + 1 <= 223
2x <= 222
x <= 111
x + 1 = 111 + 1 = 112

- texaschic101

but the way the question is worded can be a bit confusing

- anonymous

Very confusing!

- MrNood

to be honest - this is not a well phrased question - it doesn't really have an answer as written.
What @texaschic101 has done is given you the answer for a differnt question
"what is the LARGEST possible value for one of the integers"
but that is not what is asked

- texaschic101

true ^^.....I think the way it is written, there can be more then 1 answer

- anonymous

So this question is a tricky question or it didnt make it right

- texaschic101

its tricky

- anonymous

ahhhhhhhh!

- anonymous

So what is the 2 answers you guys see?

- MrNood

Please have a think and try to understand what we are saying
it is not 2 answers - it is a NUMBER of answers
ANY 2 integers less than 112 will answer teh question correctly.
You need to look at the equation that was written above and understand HOW it relates to rthe question.
doi not focus on the answer - this question does not have a proper answer

- anonymous

I dont see an equation!

- MrNood

IF the question was written properly then it would not be 'tricky'
the some of integer x and the consecutive integer (x+1)
is x+x+1 = 2x+1
THAT is the key point you needed to get to answer similar questions

- MrNood

@texaschic101 wrote THIS eqution above
x + x + 1 <= 223
2x <= 222
x <= 111
x + 1 = 111 + 1 = 112
BUT it doesn't answer your question, because your question is not posed properly

- anonymous

Ok is there a way to solve this????

- MrNood

I repeat:
it is not 2 answers - it is a NUMBER of answers
ANY 2 integers less than 112 will answer the question correctly.

- anonymous

11,13,15 and 17

- anonymous

what i found

- anonymous

@MrNood

- anonymous

@texaschic101

- anonymous

−112,−56,−28,−16,−14,−8,−7,−4,−2,−1,1,2,4,7,8,14,16,28,56,112

- anonymous

Thats it

- texaschic101

I am sorry buddy...I just don't know...there can be several answers

- anonymous

:(

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