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# If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y

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If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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03 Sep 2009, 04:15
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If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y?
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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03 Sep 2009, 12:25
why is this not 14? 8+6?
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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03 Sep 2009, 12:44
fmdc wrote:
why is this not 14? 8+6?

Because greatest integer value of x+y comes when x=6.5 and y =8.5
x+y = 6.5+8.5 = 15
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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03 Sep 2009, 12:47
it is 15 and not 14 because we r not told x and y r integers themselves therefore their value can be 6.9 and 8.9 also.... ie x+y<9+7
i hope it helped
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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Updated on: 16 Sep 2009, 11:14
If the x and y can be 6.9 and 8.9, then the sum would 15.8, which would round up to 16? Or are we assumed to round down?

Originally posted by risys82 on 14 Sep 2009, 02:17.
Last edited by risys82 on 16 Sep 2009, 11:14, edited 1 time in total.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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14 Sep 2009, 04:19
1
risys82 wrote:
If the x and y can be 6.9 and 8.9, then the sum would 15.8, which would round up to 16? Or are we assumed to round down? Or am I missing the point?

We can do round off if we are asked the approximate value in the question. But in this case, we are asked to find the "greatest integer value" and there is no mention of approximation in the question.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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16 Sep 2009, 10:52
x = 6.5 and y = 8.5.
x + y = 15
Hence , 15 it is.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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18 Sep 2009, 12:34
Solution:

1+2<x+y<7+9;

3<x+y<15

x+y has to be an integer that is less than 15, the next largest to 15 is 14.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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18 Sep 2010, 07:34
Interesting question.
If you put the possible answers, probably we could have fallen for the trap more easily.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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18 Sep 2010, 10:44
cano wrote:
Interesting question.
If you put the possible answers, probably we could have fallen for the trap more easily.

Also don't put tricky in the subject of the thread. This is the type of question everyone needs to practice on so they understand there can be questions where there is a distinct difference between available inputs and outputs.
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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01 Oct 2017, 01:56
x= 6.99999999999999999
y = 8.9999999999999999
when adding up integer value should be 15
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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17 Nov 2017, 11:38
Since they've asked for the largest integer value hence it would be, 6.5+8.5= 15
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Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y  [#permalink]

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18 Nov 2017, 06:15
2
1
If you add both the inequalities you will get the largest possible integer value as 15 only.

1<x<7
+ 2<y<9
----------
3<x+y<16
----------

Hence, the largest possible integer value is 15
Re: If 1 < x < 7 and 2 < y < 9, what is the largest integer value of x + y &nbs [#permalink] 18 Nov 2017, 06:15
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