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
1) The sum of the last two numbers is 30
2) The sum of the first two numbers is 22
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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