Discussion
If m is an even integer, then which of the following is the sum of the next two even integers greater than 4m + 1?
*This question is included in Nova Math - Problem Set A: Substitution, question #6
| (A) | 8m + 2 |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 07/20/2013 11:53
But if we choose m = 4 for instance, 4m+1 will 17, the next two even integers will be 18 and 20
So the sum is 38,
If we choose C, 8x4 + 6 = 38 so they are equal, not greater, which makes it wrong,?!?!
So the sum is 38,
If we choose C, 8x4 + 6 = 38 so they are equal, not greater, which makes it wrong,?!?!
Posted: 07/20/2013 21:11
Hi Sudad Al Mutar,
ONLY the two even integers must be greater than 4m + 1, and you correctly chose the two integers: 18 and 20. Their sum is 38.
Now, the five answer-choices are possible formulas that will generate the number 38. As you correctly point out, Choice C does generate 38: 8m + 6 = 8(4) + 6 = 32 + 6 = 38, and it is the only answer-choice that returns 38. Hence, the answer is C.
Nova Press
ONLY the two even integers must be greater than 4m + 1, and you correctly chose the two integers: 18 and 20. Their sum is 38.
Now, the five answer-choices are possible formulas that will generate the number 38. As you correctly point out, Choice C does generate 38: 8m + 6 = 8(4) + 6 = 32 + 6 = 38, and it is the only answer-choice that returns 38. Hence, the answer is C.
Nova Press
Posted: 12/22/2014 13:04
Reply: the answer is correct
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Edit
Posted: 01/27/2014 14:44
Can I get an explanation of how to calculate this one?
Posted: 01/27/2014 14:54
Nevermind. I just clicked "show solution"
Posted: 12/22/2014 12:59
Reply: are you sure
Posted: 02/22/2015 10:12
But what if we chose m to equal 2? Then the original equation would equate to 9, making the next even integers 10 and 12, the sum of which is 22, but there is no corresponding equation that would also yield that answer. Am I missing something?
Posted: 02/22/2015 14:22
Hi Ali,
Your calculations above are correct, but Choice (C) does generate the number 22:
8m + 6 = 8(2) + 6 = 16 + 6 = 22
Nova Press
Your calculations above are correct, but Choice (C) does generate the number 22:
8m + 6 = 8(2) + 6 = 16 + 6 = 22
Nova Press
Posted: 11/18/2015 18:39
I'm not understanding where 10 is coming from? I get that m=2 and 4(2)+1=9
But how did they come up with 10+12=
But how did they come up with 10+12=