If Jake loses 8 pounds, he will weigh twice as much as his : GMAT Problem Solving (PS)
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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]

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07 Dec 2012, 04:08
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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: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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28 Apr 2016, 06:22
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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

This problem can be solved as a simple word problem in which we must convert words to math. Before we create our equations, we want to define some variables.

J = Jake’s current weight, in pounds

S = Sister’s current weight, in pounds

We are told that “If Jake loses 8 pounds, he will weigh twice as much as his sister." We put this into an equation:

J – 8 = 2S

We can isolate J by adding 8 to 2S:

J = 2S + 8 (Equation 1)

Next, we are told that “Together they now weigh 278 pounds.” We can also put this into an equation.

J + S = 278 (Equation 2)

To solve this equation, we can substitute 2S + 8 from Equation 1 for the variable J in Equation 2:

2S + 8 + S = 278

3S = 270

S = 90

We now know that the sister weighs S = 90 pounds, and we can plug that value into either equation to determine J. Let’s plug 90 for S into equation 2:

J + 90 = 278

J = 188

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Jeffrey Miller

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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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07 Dec 2012, 04:12
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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

Let J be Jake's present weight and S be his sister's weight, then we can construct two linear equations:
J=2S+8;
J+S=278.

Subtract one from another: S=278-2S-8 --> S=90 --> J=188.

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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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26 Apr 2014, 15:53
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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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11 Sep 2014, 06:10
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

(x-8) = 2s

s+x = 278 --> s= 278-x

x-8 = 2(278-x)

3x=564

x=188
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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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24 Sep 2014, 18:44
..................... Jack ......................... Sister

Now ................ x ................................. y

8 yrs before....... (x-8)

2y = x - 8

x = 2y+8

Given that 2y + 8 + y = 270

y = 90

x = 188

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Re: If Jake loses 8 pounds, he will weigh twice as much as his [#permalink]

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19 Apr 2016, 12:49
Hello from the GMAT Club BumpBot!

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Re: If Jake loses 8 pounds, he will weigh twice as much as his   [#permalink] 19 Apr 2016, 12:49
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