If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?
5
11
13
15
18
help!!!
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Translate each statement to math. Remember:
more means +
is means =
how much tells us to use a variable
Question:
(m + 9) = x + (n + 2) -> LOOKING FOR X
x = (m + 9) - (n + 2)
[spoiler]x = m - n + 7[/spoiler]
So we need to know [spoiler](m - n)[/spoiler] to get x
Given:
(m - 4) = 7 + n
m = 11 + n
[spoiler]m - n = 11[/spoiler]
So, x = m - n + 7
[spoiler]x = 11 + 7 = 18[/spoiler]
more means +
is means =
how much tells us to use a variable
Question:
(m + 9) = x + (n + 2) -> LOOKING FOR X
x = (m + 9) - (n + 2)
[spoiler]x = m - n + 7[/spoiler]
So we need to know [spoiler](m - n)[/spoiler] to get x
Given:
(m - 4) = 7 + n
m = 11 + n
[spoiler]m - n = 11[/spoiler]
So, x = m - n + 7
[spoiler]x = 11 + 7 = 18[/spoiler]
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(m + 9) - (n + 2) = (m - n + 7)jayanti wrote:If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?
Hence, (m + 9) is (m - n + 7) more than (n + 2)
Now, (m - 4) is 7 more than n ---> (m - 4) = (n + 7) ---> (m - n) = 11
Therefore, (m - n + 7) = 11 + 7 = 18
Hence, (m + 9) is 18 more than (n + 2)
The correct answer is E.
Last edited by Anurag@Gurome on Mon Aug 08, 2011 12:06 am, edited 1 time in total.
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Another method:jayanti wrote:If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?
We can pick a value for either m or n. And solve accordingly.
For example, say n = 0.
Hence, (m - 4) is 7 more than n means m = (7 + 4 + 0) = 11
Thus, (m + 9) = 20 and (n + 2) = 2
20 is 18 more than 2.
The correct answer is E.
Last edited by Anurag@Gurome on Mon Aug 08, 2011 12:07 am, edited 1 time in total.
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I think Anurag has made a slight typo, everything he says in both posts is correct but the answer should be E
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Thanks Greg!
Edited the typos.
Edited the typos.
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if (m-4) is 7 more than n, m is 11 more than n.jayanti wrote:If m - 4 is 7 more than n, then m + 9 is how much more than n + 2?
5
11
13
15
18
Therefore m+ 9 is 20 more than n and 18 more than n+2
ans E