If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a

Question

If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a, b, c, d, and e?

A. 255

B. 215

C. 175

D. 135

E. It is impossible to tell from the information given.

KSBGC · Answer

Given,

a + c + e - b - d = 875

a + c + e - ( b + d) = 875

a + c + e - 200 = 875

a + c + e = 1075

and b + d =200.

\frac{a + b + c + d + e}{5}

=  \frac{1075 + 200}{5}

= 255

A is the correct answer.

ShaunBing · Answer

a − b + c − d + e = 875 
= (a+c+e) - (b +d)= 875
---> a+c+e = 1075
----> a+c+e+b+d = 1075 +200 = 1275
Mean = 1275/5 =255 ---> a

vanam52923 · Answer

i think u have incorrectly subtracted 200,it needs to be added

EgmatQuantExpert · Answer

Solution 
  Given:  
 • a – b + c – d + e = 875
• b + d = 200

To find:  
 • The mean of {a, b, c, d, e} =  \frac{(a + b + c + d + e)}{5}

Approach and Working:   
 • a + c + e – (b + d) = 875
 o This implies, a + c + e = 875 + 200 = 1075

• Thus, a + b + c + d + e = 1075 + 200 = 1275
• Therefore, mean =  \frac{1275}{5} = 255

Hence, the correct answer is Option A

Answer: A

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