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If a, b, and c are positive integers, a > b > c, and a + b + c < 27

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V
Joined: 02 Sep 2009
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If a, b, and c are positive integers, a > b > c, and a + b + c < 27  [#permalink]

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New post 21 Jan 2019, 02:36
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

41% (00:55) correct 59% (00:40) wrong based on 38 sessions

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Re: If a, b, and c are positive integers, a > b > c, and a + b + c < 27  [#permalink]

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New post 21 Jan 2019, 03:03
Bunuel wrote:
If a, b, and c are positive integers, a > b > c, and a + b + c < 27, what is the maximum value for a?

A 23
B 24
C 25
D 26
E 27



** all are positive integers***

a>b>c*****

*** a + b + c<27.

(a + b + c ) max = 26.

a is the largest among a,b,c.

i must use back solving here.

Option A: 23

23 + 2 + 1.

A is the best answer.

Note: In order to get the max value of a , we must assume the max value of a + b + c.

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Re: If a, b, and c are positive integers, a > b > c, and a + b + c < 27  [#permalink]

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New post 21 Jan 2019, 09:31
Bunuel wrote:
If a, b, and c are positive integers, a > b > c, and a + b + c < 27, what is the maximum value for a?

A 23
B 24
C 25
D 26
E 27



questions say +ve integers
so
c cannot be 0 ; it has to be 1
so
max value of a can be 23 and b = 2 , a =1
so
IMO A is correct
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Re: If a, b, and c are positive integers, a > b > c, and a + b + c < 27  [#permalink]

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New post 21 Jan 2019, 09:39
Bunuel wrote:
If a, b, and c are positive integers, a > b > c, and a + b + c < 27, what is the maximum value for a?

A 23
B 24
C 25
D 26
E 27


If a, b, and c are positive integers, a > b > c, and a + b + c < 27

For value of a to be maximum and satisfy the aboverelationship

One can realize that c != b and c = 1, as they are +ive integers

23 + 2 + 1 < 27

Answer A
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Re: If a, b, and c are positive integers, a > b > c, and a + b + c < 27   [#permalink] 21 Jan 2019, 09:39
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