The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers. Find the two integers.

Question

anonymous · Answer

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anonymous · Answer

I think the answer is either B or C  just not sure which one

anonymous · Answer

Let the first even integer be : $q$

Then its consecutive integer will be : $q + 2$..

According to your question :

$$\frac{1}{q} + \frac{1}{q+2} = \frac{7}{24}$$

anonymous · Answer

Your doubt should be between C and D, not B and C.. :P

anonymous · Answer

So, what is it according to you?

anonymous · Answer

I think C?

anonymous · Answer

Solve the equation which I have given you.. :) do not think, find it..

anonymous · Answer

Let us verify:

You are saying $6$ and $8$, so sum of their reciprocal should be : 

$$\frac{1}{6} + \frac{1}{8} = \frac{4 + 3}{24} = \frac{7}{24}$$

anonymous · Answer

Yeah, C is pretty right..!! :P