Question

the sum of the reciprocal s of two consecutive even number is 7/24. one number is 6. what is the other number​

Answer 1

Step-by-step explanation:

I hope it would help you

Answer 2

Answer:

8

Step-by-step explanation:

Let the required number be x.

According to the question ;

$\implies \sf \frac{1}{x} + \frac{1}{6} = \frac{7}{24} \\ \\ \implies \sf \frac{1}{x} = \frac{7}{24} - \frac{1}{6} \\ \\ \implies \sf \frac{1}{x} = \frac{7 - 4}{24} \\ \\ \implies \sf \frac{1}{x} = \frac{3}{24} \\ \\ \implies \sf \frac{1}{x} = \frac{1}{8} \\ \\ \boxed{ \red{ \bf \therefore \: x = 8 }}$

Hence, the required answer is 8.

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What is reciprocal?

Reciprocal is the simply the reverse of numerator and denominator.

If a number is x, it's reciprocal = $\bf \dfrac{1}{x}$