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# If seven times m is equivalent to both three times n and 2 times p, wh

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Joined: 02 Jun 2015
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If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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17 Feb 2017, 06:47
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If seven times m is equivalent to both three times n and 2 times p, what is the value of m + n + p?

(1) m – n = –4
(2) n + p = 5

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Posts: 7764
Re: If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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17 Feb 2017, 07:18
duahsolo wrote:
If seven times m is equivalent to both three times n and 2 times p, what is the value of m + n + p?

(1) m – n = –4
(2) n + p = 5

Hi...

info.. we have all three related to each other, so m+n+p can be written in terms of just one variable..
If we know even one variable, we can find the value

Let's see the statements...
1) m-n=-4..
This again can be converted into single variable as both m and n are directly related..
We can find single variable, which will further help us in finding the SUM..
Sufficient
2) n+p=5..
Same as statement I
Sufficient

D
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Re: If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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17 Feb 2017, 07:20
Given 7m=3n=2p. They are basically 2 equations and we have to find m+n+p

1) m – n = –4. This will the 3rd equation. 3 equations 3 variables. Sufficient

2) n + p = 5. This will the 3rd equation. 3 equations 3 variables. Sufficient

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Re: If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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17 Feb 2017, 08:02
7m=3n=2p.

One can easily convert both equations from double variable to single. And hence it can be soved.

Ans D.
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If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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09 Aug 2018, 09:30
duahsolo wrote:
If seven times m is equivalent to both three times n and 2 times p, what is the value of m + n + p?

(1) m – n = –4
(2) n + p = 5

can someone please provide a detailed silotion ?

statement 1: we have two unknowns m – n = –4

statement 2: again two unknowns n + p = 5

haw can D be correct answer ?

hey pushpitkc how are you ? havent seen you around lately

Hey PKN maybe you can help ?
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If seven times m is equivalent to both three times n and 2 times p, wh  [#permalink]

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10 Aug 2018, 10:24
1
dave13 wrote:
duahsolo wrote:
If seven times m is equivalent to both three times n and 2 times p, what is the value of m + n + p?

(1) m – n = –4
(2) n + p = 5

can someone please provide a detailed silotion ?

statement 1: we have two unknowns m – n = –4

statement 2: again two unknowns n + p = 5

haw can D be correct answer ?

hey pushpitkc how are you ? havent seen you around lately

Hey PKN maybe you can help ?

Hi dave13,

You have mentioned the info(equation) that is provided in st1 and st2.

What about the info(equation) provided in the question?? Why did you ignore it?

Given, seven times m is equivalent to both three times n and 2 times p
1) 7 times m=3 times n ; or, 7m=3n--------------(1)
2) 7 times m=2 times p; or, 7m=2p--------------(2)
3) combine eq(1) & (2); 7m=3n=2p------------- --(3)

st1:- m – n = –4-----------(4)
Equation (1) and (4), we have 2 equations and 2 variables. I am sure we can determine the value of variables(m & n) by substitution method. Again, using eq(3), we can determine the value of p. Now, (m+n+p) can be determined.No need of computation.
Sufficient.

st2:- n + p = 5-----------(5)
Equation (3)(3n=2p) and (5), we have 2 equations and 2 variables. I am sure we can determine the value of variables(n & p) by substitution method. Again, using eq(3), we can determine the value of m. Now, (m+n+p) can be determined.No need of computation.
Ans. (D)
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PKN

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If seven times m is equivalent to both three times n and 2 times p, wh   [#permalink] 10 Aug 2018, 10:24
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