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# If x is 4 more than half of y and if y is 10 more than half

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If x is 4 more than half of y and if y is 10 more than half [#permalink]  06 Dec 2017, 02:42
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Question Stats:

77% (01:35) correct 22% (00:51) wrong based on 9 sessions
If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x?

[Reveal] Spoiler: OA
12

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Re: If x is 4 more than half of y and if y is 10 more than half [#permalink]  06 Dec 2017, 05:16
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Carcass wrote:
If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x?

[Reveal] Spoiler: OA
OA in 24h

Here,
from 1st statement -

x = 4 + $$\frac{1}{2}y$$

or x - 2y = -20

From 2nd statement-

y = 10 + $$\frac{1}{2}x$$

or 2x - y = 8

Now equating both equations
x -2y = -20 and 2x - y = 8

we have

x = 12
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Moderator
Joined: 18 Apr 2015
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Kudos [?]: 1145 [0], given: 5454

Re: If x is 4 more than half of y and if y is 10 more than half [#permalink]  06 Dec 2017, 11:43
Expert's post

regards
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Re: If x is 4 more than half of y and if y is 10 more than half [#permalink]  06 Dec 2017, 17:11
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Expert's post
Carcass wrote:
If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x?

[Reveal] Spoiler: OA
12

x is 4 more than half of y
We can write: x = y/2 + 4

y is 10 more than half of x
We can write: y = x/2 + 10

Take x = y/2 + 4 and replace y with x/2 + 10
We get: x = (x/2 + 10)/2 + 4
Multiply both sides by 2 to get: 2x = x/2 + 10 + 8
Multiply both sides by 2 (again) to get: 4x = x + 20 + 16
Subtract x from both sides: 3x = 36
Solve: x = 12

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: If x is 4 more than half of y and if y is 10 more than half   [#permalink] 06 Dec 2017, 17:11
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