Dimitri weighs $x$ pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of $y$ pounds. Which of

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

by Gmat_mission » Sun Apr 26, 2020 11:51 am

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Dimitri weighs $x$ pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of $y$ pounds. Which of the following represents Allen’s weight?

A. $y - \dfrac{x}{2}$
B. $2x - \dfrac{y}{2}$
C. $\dfrac{y - x}{2}$
D. $y - 2x$
E. $2x - y$

[spoiler]OA=C[/spoiler]

Source: Magoosh

Source: Beat The GMAT — Problem Solving | Sun Apr 26, 2020 11:51 am

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Re: Dimitri weighs $x$ pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of $y$ pounds. Which

by Scott@TargetTestPrep » Sun May 03, 2020 5:30 am

Gmat_mission wrote: ↑
Sun Apr 26, 2020 11:51 am
Dimitri weighs $x$ pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of $y$ pounds. Which of the following represents Allen’s weight?

A. $y - \dfrac{x}{2}$
B. $2x - \dfrac{y}{2}$
C. $\dfrac{y - x}{2}$
D. $y - 2x$
E. $2x - y$

[spoiler]OA=C[/spoiler]

Source: Magoosh

Let A = Allen’s weight. Thus, Dimitri’s weight is A + x, and we can create the equation:

A + A + x = y

2A = y - x

A = (y - x)/2

Answer: C

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