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

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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31 Jan 2019, 00:24
00:00

Difficulty:

45% (medium)

Question Stats:

56% (01:14) correct 44% (01:25) wrong based on 33 sessions

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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.

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Joined: 31 Oct 2013
Posts: 1138
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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Updated on: 31 Jan 2019, 03:54
Bunuel wrote:
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.

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

Originally posted by selim on 31 Jan 2019, 01:28.
Last edited by selim on 31 Jan 2019, 03:54, edited 1 time in total.
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Joined: 16 Jul 2018
Posts: 2
Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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31 Jan 2019, 03:08
Bunuel wrote:
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.

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
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Joined: 17 Jul 2017
Posts: 102
Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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31 Jan 2019, 03:44
1
selim wrote:
Bunuel wrote:
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.

Given,

a + c + e - b - d = 875

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

a + c + e - 200 = 875

a + c + e = 675.

and b + d =200.

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

= $$\frac{675 + 200}{5}$$

= 175.

i think u have incorrectly subtracted 200,it needs to be added
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2581
Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a  [#permalink]

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31 Jan 2019, 06:50

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

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Re: If a − b + c − d + e = 875 and b + d = 200, then what is the mean of a   [#permalink] 31 Jan 2019, 06:50
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