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If Jill loses 7 pounds, she will weigh half as much as her brother. To

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Kudos [?]: 133100 [0], given: 12408

If Jill loses 7 pounds, she will weigh half as much as her brother. To [#permalink]

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New post 12 Oct 2017, 23:23
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If Jill loses 7 pounds, she will weigh half as much as her brother. Together, they now weigh 343 pounds. What is Jill’s present weight, in pounds?

(A) 107
(B) 119
(C) 127
(D) 133
(E) 143
[Reveal] Spoiler: OA

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Kudos [?]: 133100 [0], given: 12408

Expert Post
Math Expert
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Joined: 02 Sep 2009
Posts: 42323

Kudos [?]: 133100 [0], given: 12408

Re: If Jill loses 7 pounds, she will weigh half as much as her brother. To [#permalink]

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New post 12 Oct 2017, 23:31
Bunuel wrote:
If Jill loses 7 pounds, she will weigh half as much as her brother. Together, they now weigh 343 pounds. What is Jill’s present weight, in pounds?

(A) 107
(B) 119
(C) 127
(D) 133
(E) 143


Similar question from OG: https://gmatclub.com/forum/if-jake-lose ... 43752.html
_________________

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Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Kudos [?]: 133100 [0], given: 12408

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Re: If Jill loses 7 pounds, she will weigh half as much as her brother. To [#permalink]

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New post 13 Oct 2017, 03:51
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This post received
KUDOS
Let J be Jill's current weight and B be her Brother's weight, then,
J+B=343
J-7=B/2
==>2J-B=14
adding 3J=357.
Solving J=119
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Kudos [?]: 21 [1], given: 72

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Re: If Jill loses 7 pounds, she will weigh half as much as her brother. To [#permalink]

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New post 13 Oct 2017, 10:20
Here,
Let Jill's current weight= J and her Brother's weight= B
According to question,
J+B=343
J-7=B/2
==>2J-B=14
adding 3J=357.
Solving J=119

Kudos [?]: 7 [0], given: 182

Expert Post
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Kudos [?]: 914 [0], given: 5

Re: If Jill loses 7 pounds, she will weigh half as much as her brother. To [#permalink]

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New post 16 Oct 2017, 17:15
Bunuel wrote:
If Jill loses 7 pounds, she will weigh half as much as her brother. Together, they now weigh 343 pounds. What is Jill’s present weight, in pounds?

(A) 107
(B) 119
(C) 127
(D) 133
(E) 143


We can let Jill’s current weight = j and her brother’s current weight = b.

j - 7 = (1/2)b

2j - 14 = b

and

j + b = 343

Substituting (2j - 14) for b in the equation j + b = 343, we have:

j + 2j - 14 = 343

3j = 357

j = 119

Answer: B
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Kudos [?]: 914 [0], given: 5

Re: If Jill loses 7 pounds, she will weigh half as much as her brother. To   [#permalink] 16 Oct 2017, 17:15
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