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Math Expert V
Joined: 02 Sep 2009
Posts: 58417
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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2
12 00:00

Difficulty:   5% (low)

Question Stats: 88% (01:02) correct 12% (01:00) wrong based on 1318 sessions

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If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

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GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4015
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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8
Bunuel wrote:
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

We have two equations:
2x + y = 7
x + 2y = 5

Notice that something nice happens when we ADD them. We get:
3x + 3y = 12
Divide both sides by 3 to get: x + y = 4

So, (x + y)/3 = 4/3

Cheers,
Brent
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Manager  Status: tough ... ? Naaahhh !!!!
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Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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1
x=3, y=1, so x+y/3=4/3

Ans:B
Verbal Forum Moderator V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2402
Location: India
Concentration: General Management, Strategy
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Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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2x+y = 7 --1
x +2y= 5 --2
Adding equations 1 and 2 , we get
3x+3y=12
=>x+y=4

(x+y)/3 = 4/3
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Manager  Joined: 11 Sep 2013
Posts: 105
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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1
3x + 3y = 12
Divide both sides by 9 to get: 4/3

Ans B
Current Student Joined: 11 Jul 2015
Posts: 17
Location: United States
GMAT 1: 650 Q47 V32 GMAT 2: 710 Q46 V41 GPA: 3.4
WE: Supply Chain Management (Aerospace and Defense)
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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1
2*(x+2y = 5) equals 2x+4y=10
2x+4y=10
- 2x + y= 7
= 3y=3
Therefore Y = 1

Plug and solve...

2x + 1 = 7
2x=6
x=3

(3+1)/3= 4/3
Intern  Joined: 24 Jul 2015
Posts: 12
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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1
Bunuel wrote:
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

Adding the 2 equations
3x + 3y= 12
Dividing both sides by 3
X+y=12/3
Again dividing both sides by 3
(X+y)/3=4/3
SVP  V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1687
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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1
Bunuel wrote:
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

My Solution:

2x+y=7 ----- (1) and x+2y=5 ------>(2)

Solving eqn. (1) & (2) we get x = 3 and y = 1,

Therefore, x+y/3 will be (3+1)/ 3

Answer = 4/3 Option B

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Manager  S
Joined: 25 Mar 2013
Posts: 226
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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Multiply 2nd equation with 2, on solving
-3y = -3
y =1
Substitute, x = 3
$$\frac{4}{3}$$
B
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I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you
SVP  V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1687
Location: India
Concentration: International Business, Operations
Schools: INSEAD Jan '19
GPA: 3.01
WE: Engineering (Real Estate)
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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Bunuel wrote:
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

3x + 3y = 12

3 (x + y) = 12

x + y = 4

(x + y)/3

4/3

(B)
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"Do not watch clock; Do what it does. KEEP GOING."
SVP  V
Joined: 26 Mar 2013
Posts: 2344
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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Bunuel wrote:
If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =

(A) 1
(B) 4/3
(C) 17/5
(D) 18/5
(E) 4

Kudos for a correct solution.

2x + y = 7.............1

x + 2y = 5.............2
-----------------------------Sum the 2 eqautions

3x +3 y = 12 .................Divide by 3

x + y =4........................ divide by 3

(x + y)/3 =4/3

Non-Human User Joined: 09 Sep 2013
Posts: 13353
Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =  [#permalink]

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_________________ Re: If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =   [#permalink] 03 Aug 2019, 03:53
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