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# The sum of two numbers is S. Suppose 3 is added to each number and the

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Math Expert
Joined: 02 Sep 2009
Posts: 59712
The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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18 Mar 2019, 02:09
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Difficulty:

25% (medium)

Question Stats:

70% (01:25) correct 30% (02:11) wrong based on 27 sessions

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The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

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Location: India
Concentration: Sustainability, Marketing
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Re: The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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18 Mar 2019, 02:38
Bunuel wrote:
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

a and b
a+b=S .
sum ; 2(a+3)+2(b+3)=2(a+b)+12=
2S +12
IMO E
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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
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Re: The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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18 Mar 2019, 03:35
Bunuel wrote:
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

Sum = S.

There are 2 numbers. 3 will be added to each of them. total 6 will be added to the sum.

S + 6.

now we are asked to double the number.

2(S + 6) = 2S + 12.

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Joined: 09 Feb 2019
Posts: 4
Re: The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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18 Mar 2019, 04:24
Archit3110 wrote:
Bunuel wrote:
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

a and b
a+b=S .
sum ; 2(a+3)+2(b+3)=2(a+b)+12=
2S +12
IMO E

Hi,

Can you please see if the two numbers are 3 and 7, still the answer will hold true?
Am I missing something??
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Joined: 18 Aug 2017
Posts: 5479
Location: India
Concentration: Sustainability, Marketing
GPA: 4
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Re: The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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18 Mar 2019, 04:48
1
Raghu8712 wrote:
Archit3110 wrote:
Bunuel wrote:
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

a and b
a+b=S .
sum ; 2(a+3)+2(b+3)=2(a+b)+12=
2S +12
IMO E

Hi,

Can you please see if the two numbers are 3 and 7, still the answer will hold true?
Am I missing something??

Raghu8712
at 3 & 7 we will have a+b= s; 10
and
2*6 + 2*10 = 12 +20 ;32
so option E
2S+12 ; 2*10 + 12 ; 32
correct ..
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Re: The sum of two numbers is S. Suppose 3 is added to each number and the  [#permalink]

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19 Mar 2019, 19:10
Bunuel wrote:
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers?

(A) 2S + 3
(B) 3S + 2
(C) 3S + 6
(D) 2S + 6
(E) 2S + 12

We can let the two numbers be a and b. So we have a + b = S. We need to express 2(a + 3) + 2(b + 3) in terms of S.

2(a + 3) + 2(b + 3)

2a + 6 + 2b + 6

2(a + b) + 12

2S + 12

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Re: The sum of two numbers is S. Suppose 3 is added to each number and the   [#permalink] 19 Mar 2019, 19:10
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