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# If x < y and y < 10, what is the greatest possible integer value of x

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Math Expert
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Posts: 49271
If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 20:35
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36% (00:46) correct 64% (00:32) wrong based on 123 sessions

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If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

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If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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Updated on: 04 Aug 2018, 02:30
Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

Given,

x<y

and y < 10

we are asked to determine the greatest value of x + y .

y ( max) = 9.9999

x ( max) = 9.9998

x + y = 19 ( max)

Thus the best answer is D.

Originally posted by selim on 05 Jul 2018, 20:47.
Last edited by selim on 04 Aug 2018, 02:30, edited 1 time in total.
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If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 21:09
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I think it will be D. Take x = 9.2, y= 9.8, then x + y = 19. Since they have asked for greatest possible integer value and they have not mentioned x and y are integers.
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Re: If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 21:16
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Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

selim, always be care ful to read wordings..
we are looking for max integer value of x and y and x and y need not be integers

so take the max possible value if x<y<10
$$9.9999998<9.999999<10$$
so both x and y can be just near 10 but less than 10..
so x+y will be near 20 but slightly less than that so
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Re: If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 21:22
chetan2u wrote:
Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

selim, always be care ful to read wordings..
we are looking for max integer value of x and y and x and y need not be integers

so take the max possible value if x<y<10
$$9.9999998<9.999999<10$$
so both x and y can be just near 10 but less than 10..
so x+y will be near 20 but slightly less than that so

Thanks guru. Holy ****. Simply miss it because of excitement.
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Re: If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 21:27
Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

Given x<y<10.
Max(x+y)=max(x)+max(y)=9.99+9.98=19.97
But we are asked the greatest possible integer value of x + y, hence Max(x+y)=19

Ans.(D)
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Re: If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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05 Jul 2018, 23:58
Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

We need integer value possible for Max (x + y)

Given, x < y < 10, hence Max (y) = 9.9 & Max (x) = 9.1, considering only one decimal place for simplicity

We get integer value possible for Max (x + y) = 9.9 + 9.1 = 19

Max (x + y) cannot be 20, as both x & y are less than 10.

Hence the only integer value for Max (x + y) below 20, is 19.

Thanks,
GyM
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Re: If x < y and y < 10, what is the greatest possible integer value of x  [#permalink]

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19 Jul 2018, 09:55
Bunuel wrote:
If x < y and y < 10, what is the greatest possible integer value of x + y?

A. 16
B. 17
C. 18
D. 19
E. 20

We need x + y as integer but x and y can be fractions. With this in mind,

Say x = 9.8 , y = 9.9 as x < y

x + y = 19.70 = 19

So, D
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Re: If x < y and y < 10, what is the greatest possible integer value of x &nbs [#permalink] 19 Jul 2018, 09:55
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