GMAT Prep2?? (b and c)

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dferm: Master | Next Rank: 500 Posts; Posts: 446; Joined: Thu Jul 26, 2007 1:07 pm; Thanked: 6 times

by dferm » Wed May 14, 2008 5:25 pm

If a, b, c are positive integers, is b between a and c?

(1) b is 3 greater than a, and b is less than c.
(2) c is 5 greater than b, and c is 8 greater than a.

Can someone throw some light on this prob...

Thanks...

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Source: Beat The GMAT — Data Sufficiency | Wed May 14, 2008 5:25 pm

mwilliams: Senior | Next Rank: 100 Posts; Posts: 33; Joined: Fri Apr 11, 2008 2:21 pm; Thanked: 3 times

by mwilliams » Wed May 14, 2008 6:07 pm

(1) indicates b>a and c>b, therefore c>b>a
(2) indicates c>b and c>a, and since c=b+5 and c=a+8, substitute for c and you get b+5=a+8 then b=a+3, indicating b>a so again c>b>a

each answer by itself is sufficient

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