If $|x-y|=y,$ what is the value of $x?$

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Thu Oct 08, 2020 5:58 am

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If $|x-y|=y,$ what is the value of $x?$

(1) $xy>0$
(2) $y=6$

Answer: C

Source: Veritas Prep

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Source: Beat The GMAT — Data Sufficiency | Thu Oct 08, 2020 5:58 am

alishagmat: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Thu Oct 01, 2020 4:48 amFollowed by: 1 member

Re: If $|x-y|=y,$ what is the value of $x?$

by alishagmat » Sat Oct 10, 2020 8:11 am

On solving, we get x=0, or x=2y

1 not sufficient since, we do not know value of y
2 not sufficient since x can be 0 or 12
1 and 2 gives, x=12 and x != 0 (not equals)
hence. answer is C

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