Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di

Question

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 - x/2
B. 2x - y/2
C. (y - x)/2
D. y - 2x
E. 2x - y

Kudos for a correct  solution .

gmatgrl · Answer

d - a = x
d + a = y

-2a = x - y

a = (y-x)/2

So, C.

AmoyV · Answer

D=A+x...(1)
D+A=y...(2)

Substituting (1) in (2)
A+x+A=y
A= \frac{(y-x)}{2} 
Answer: C

adityadon · Answer

D=A+x so , D-A=X 
A+D=Y

Add above 2 equations , 
2D=X+Y , put D=A+X here 
So , 
2(A+X) = X+Y
2A+2X=X+Y
so A=(Y-X)/2
Answer is C

OptimusPrepJanielle · Answer

Let weight of Allen = a So, weight of Dimitri = x + a Also, a + (x+a) = y So, 2a + x = y So, a = (y-x)/2 Hence option (C). -- Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: https://www.optimus-prep.com/gmat-on-demand-course

countonhearts · Answer

statement 1. Dimitri weighs x pounds more than Allen weighs . D= A +x
D - Dimitri weighs
A - Allen weighs
Statement 2: Allen and Dimitri weigh a total of y pounds . A + D = y
or A = y-D
From 1 & 2
A= y - A-x
or
A = (y-x)/2
C

PareshGmat · Answer

Answer = C. (y - x)/2

Let weight of Allen = a

Refer table below:

Allen ............................. Dimitri ......................... Total

a ................................... a+x ............................... y

y = 2a+x

a = \frac{y-x}{2}

lipsi18 · Answer

D=X+A equation 1
A+D=Y equation 2

from equation 1 &2, 2A=Y-X there fore A = (Y-X)/2
Answer is C

Thanks,
Lipsi

EMPOWERgmatRichC · Answer

Hi All,

These type of multi-variable story problems are usually perfect for TESTing VALUES.

Here, we're told that Dimitri weighs X pounds more than Allen weighs and that they weight a combined TOTAL of Y pounds.

IF....
Dimitri = 30
Allen = 20
X = 10
Y = 50

We're asked for Allen's weight, so we're looking for an answer that equals 20 when X = 10 and Y = 50.

Answer A: 50 - (10/2) = 45 NOT a match
Answer B: 20 - (50/2) = -5 NOT a match
Answer C: (50-10)/2 = 20 This IS a match
Answer D: 50 - 20 = 30 NOT a match
Answer E: 20 - 50 = -30 NOT a match

Final Answer:  C

GMAT assassins aren't born, they're made,
Rich

KS15 · Answer

Answer=C

A's weight=z
D's weight=z+x
Total weight=x+2z=y
Therefore, z= (y-x/2)

Bunuel · Answer

MAGOOSH OFFICIAL SOLUTION: dimitri_explanation.png

bumpbot · Answer

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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di

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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Di

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