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

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

by Brent@GMATPrepNow » Fri Mar 13, 2020 9:45 am

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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

Answer: B
Source: Official guide
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GMAT/MBA Expert

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

by Brent@GMATPrepNow » Sat Mar 21, 2020 5:52 am
Brent@GMATPrepNow wrote: ↑
Fri Mar 13, 2020 9:45 am
 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

Answer: B
Source: Official guide
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

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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