Question

The sum of the reciprocals of two consecutive odd natural numbers is 12/35. Find those numbers.

Answer 1

hope this helps.........

Answer 2

Thank you for asking this question. The options for this question are missing, here are the missing options:

A. 3  

B. 5  

C. 7  

D. 9  

E. 11

Answer:

We will let n and n+ 2 be the integers.

1/n + 1/(n+2) = 12/35

35n(n+2) + 35n

= 12n(n+2)

70n + 70 = 12n² + 24n

12n² - 46n - 70 = 0

6n² - 23n - 35 = 0

(6n+7)(n-5) = 0

n = -7/6 or 5

-7/6 cannot be the integer so will take 5 as the answer.

So the final answers are 5 and 7.

If there is any confusion please leave a comment below.