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OG2015 DS x-4=z

This topic has 1 expert reply and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

OG2015 DS x-4=z

Post Sat Sep 16, 2017 10:13 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    x-4=z
    y-x=8
    8-z=t

    For the system of equations given, what is the value of z?

    (1) x = 7
    (2) t = 5

    OA: D

    Hello. Anyone, please share the solution on how to solve this. Thanks.

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    Post Sun Sep 17, 2017 7:14 am
    lionsshare wrote:
    i) x - 4 = z
    ii) y - x = 8
    iii) 8 - z = t

    For the system of equations given, what is the value of z?

    (1) x = 7
    (2) t = 5
    Target question: What is the value of z?

    Statement 1: x = 7
    Scanning the three given equations, we see that equation i is all we need to determine the value of z
    i) x - 4 = z
    Replace x with 7 to get: 7 - 4 = z
    So, z = 3
    Since we can answer the target question with certainty, statement 1 is SUFFICIENT

    Statement 2: t = 5
    Scanning the three given equations, we see that equation iii is all we need to determine the value of z
    iii) 8 - z = t
    Replace t with 5 to get: 8 - z = 5
    So, z = 3
    Since we can answer the target question with certainty, statement 2 is SUFFICIENT

    Answer: D

    Cheers,
    Brent

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