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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # a, b and c are three distinct positive integers less than 25. If |a-c|

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VP  D
Joined: 19 Oct 2018
Posts: 1151
Location: India
a, b and c are three distinct positive integers less than 25. If |a-c|  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 40% (01:26) correct 60% (02:17) wrong based on 25 sessions

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a, b and c are three distinct positive integers less than 25. If |a-c|+|b-a|=|c-b|, then the range of the all possible values of a is

A. 23
B. 22
C. 21
D. 20
E. 19
VP  D
Joined: 19 Oct 2018
Posts: 1151
Location: India
Re: a, b and c are three distinct positive integers less than 25. If |a-c|  [#permalink]

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|a-c|+|b-a|=|c-b|

Sum of distance between a and c and distance between a and b is equal to distance between b and c; Hence,on number line, 'a' lies somewhere in between b and c.

$$a_{min}=2$$
$$a_{max}=23$$

Range= 23-2=21

nick1816 wrote:
a, b and c are three distinct positive integers less than 25. If |a-c|+|b-a|=|c-b|, then the range of the all possible values of a is

A. 23
B. 22
C. 21
D. 20
E. 19 Re: a, b and c are three distinct positive integers less than 25. If |a-c|   [#permalink] 22 Nov 2019, 18:55
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# a, b and c are three distinct positive integers less than 25. If |a-c|  