Find the fourth consecutive even number
1) The sum of the last two numbers is 30
2) The sum of the first two numbers is 22
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Find the fourth consecutive even number 1) The sum of the
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Jay@ManhattanReview
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What's the source of the question? It's a poorly-worded question.subh2273 wrote:Find the fourth consecutive even number
1) The sum of the last two numbers is 30
2) The sum of the first two numbers is 22
Let's take each statement one by one.
1) The sum of the last two numbers is 30.
Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6).
Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 => n = 10
Thus, the 4th even consecutive number = n + 6 = 10 + 6 = 16. Sufficient.
2) The sum of the first two numbers is 22.
Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6).
Thus, as per the information n + (n + 2) = 2n + 2 = 22 => n = 10
Thus, the 4th even consecutive number = n + 6 = 10 + 6 = 16. Sufficient.
The correct answer: D
Hope this helps!
-Jay
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GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
What's the source of the question? It's a poorly-worded question.subh2273 wrote:Find the fourth consecutive even number
1) The sum of the last two numbers is 30
2) The sum of the first two numbers is 22
Let's take each statement one by one.
1) The sum of the last two numbers is 30.
Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6).
Thus, as per the information (n + 4) + (n + 6) = 2n + 10 = 30 => n = 10
Thus, the 4th even consecutive number = n + 6 = 10 + 6 = 16. Sufficient.
2) The sum of the first two numbers is 22.
Say the four even consecutive numbers are n, (n + 2), (n + 4), and (n + 6).
Thus, as per the information n + (n + 2) = 2n + 2 = 22 => n = 10
Thus, the 4th even consecutive number = n + 6 = 10 + 6 = 16. Sufficient.
The correct answer: D
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: New York | Bangkok | Abu Dhabi | Rome | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
