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If Jake loses 8 pounds, he will weigh twice as much as his

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If Jake loses 8 pounds, he will weigh twice as much as his [#permalink] New post 30 May 2008, 08:56
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D
E

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Question Stats:

90% (02:05) correct 10% (00:51) wrong based on 90 sessions
If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake’s present weight, in pounds?

(A) 131
(B) 135
(C) 139
(D) 147
(E) 188
[Reveal] Spoiler: OA
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Re: weight problem [#permalink] New post 30 May 2008, 09:08
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sportypk wrote:
If Jake loses 8 pounds, he will weigh twice as much as his
sister. Together they now weigh 278 pounds. What is Jake’s
present weight, in pounds?
(A) 131
(B) 135
(C) 139
(D) 147
(E) 188

the OA is 188...could anyone explain how?


Heyyy
Lets say J is the weight of Jack and S is the wt of his sister.
If he loses 8 pounds, he s twice as heavy as his sister.
J-8=2*S
Also, together they weight 278 pounds
J+S=278

solvong the 2 equation ,we get J=188 pounds !

Cheers !
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Re: weight problem [#permalink] New post 30 May 2008, 09:14
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Consider Sister weight Now as x
Jakes weight (2times +8) = 2x+8

(2x+8)+(x) =278
x=90

Jake's weight is ....188
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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink] New post 14 Jan 2013, 12:03
sportypk wrote:
If Jake loses 8 pounds, he will weigh twice as much as his
sister. Together they now weigh 278 pounds. What is Jake’s
present weight, in pounds?
(A) 131
(B) 135
(C) 139
(D) 147
(E) 188

the OA is 188...could anyone explain how?


My solution is:
(278-8)/3 = 90
90*2+8= 188
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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink] New post 04 Jan 2015, 00:40
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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink] New post 04 Jan 2015, 11:55
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Hi All,

This question can be solved with fairly straight-forward Algebra (as the other solutions have proven). It can also be solved by TESTing THE ANSWERS and a bit of logic.

We're told that the total weight of Jake and his sister is 278 pounds. We're also told that if Jake lost 8 pounds, then he would weight TWICE as much as his sister. This means that, right now, Jake weighs MORE than TWICE his sister. We're asked for Jake's current weight.

Since Jake weighs more than twice his sister, his weight is MORE than 2/3 of the 278 pounds. Looking at these answer choices, I would TEST one of the bigger values first... Under normal circumstances, that would be Answer D. With a quick estimate though we can see that 2/3 of 270 pounds would be 180 pounds, but Jake has to weight MORE than that, so I'm going to TEST Answer E first....

If Jake weights 188 pounds...
Jake - 8 = 180 pounds....
Sister = 90 pounds
90 + 180 + 8 = 278 pounds
This is a MATCH for the information in the prompt, so Jake MUST weight 188 pounds.

Final Answer:
[Reveal] Spoiler:
E


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Re: If Jake loses 8 pounds, he will weigh twice as much as his   [#permalink] 04 Jan 2015, 11:55
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