Susan weighs m pounds more than Anna does, and together they weigh a

Question

Susan weighs m pounds more than Anna does, and together they weigh a total of n pounds. Which of the following represents Anna’s weight in pounds?

A. (n - m)/2
B. (n + m)/2
C. n/2 - m
D. 2n − m 
E. n − 2m

Abhishek009 · Answer

Susan = Anna + m

Susan + Anna = n

Or,Anna + m + Anna = n

Or, 2Anna = n - m

Anna =  \frac{( n - m )}{2} 
  
Hence correct answer must be (A)

BrainLab · Answer

Let's pick some numbers to solve this one:
Susan=15
Anna=10
m=5 and n=15+10=25
Insert the numbers in the answer choices and let's see which of them holds true
(A)  \frac{(25-5)}{2}=10  CORRECT, Answer A

EMPOWERgmatRichC · Answer

Hi All,

This question can be solved by TESTing VALUES (the approach used by BrainLab). When working with that Tactic, it often helps to TEST the simplest values that fit the given situation.

Here, we know that Susan weights MORE than Anna, so let's try...

Susan = 3 pounds
Anna = 2 pounds

M = difference = 3-2 = 1
N = together = 3+2 = 5

We're asked for Anna's weight, so we're looking for an answer that equals 2 when M=1 and N=5. There's only one answer that matches (although you do have to check all 5 answers).

Final Answer:  A

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

NagrajB · Answer

Let Anna's weight = a
Susan's weight = a + m
Together their weight is 2a + m = n
2a = n-m
Hence a = #(n-m)/2#

TeamGMATIFY · Answer

Susan's weight = S
Anna's weight = A

S - A = m (i)
S + A = n (ii)

Subtracting (i) from (ii)
2A = n - m
A = (n - m)/2

Option A

LeoN88 · Answer

Susan= m + Anna
Anna + Susan = m+ Anna + Anna = n= m + 2Anna

Now I saw 2 in the option so,

(n-m)/2 = Anna, option A.

Susan weighs m pounds more than Anna does, and together they weigh a

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GMAT Problem Solving (PS) Questions

Susan weighs m pounds more than Anna does, and together they weigh a

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

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Perfect 805 Score Debrief by Julia

My Rewards