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

Question

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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hloonker · Answer

The Answer is D.

Statement 1: with this you can manipulate the prompt and figure out the value of either m or n. With this you can find values of all three variables.

Statement 2: You could manipulate the same way and find the answer.

$!vakumar.m · Answer

Is the question correct?
From each statement I am getting different values of m+n+p.

szcz · Answer

Its correct. Here's the solution.

7m=3n=2p
Let m=6x, then n=14x, p=21x
Therefore m+n+p= 41x
So to find the value of m+n+p we need only find x.

(1) m – n = –4
This will give x = 0.5

(2) n + p = 5
This will give x = 1/7

Hence answer is D.

$!vakumar.m · Answer

Hi.. 
we are getting different value of x for both statements which is incorrect. The statements in DS questions do not contradict each other. 
Here, we get different set of values of the variables or x.
Anyways, its not a OG question.
Regards

abhyudayx · Answer

yes, both statements can independently be correct - as is the case here.

szcz · Answer

No he is correct. In official gmat questions both the statements individually will have the same answer. So if statement 1 gives x=1, statement 2 will give the same value. This is a GMAT rule. This is why this question is not GMAT standard.

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

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