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The sum of the reciprocals of two consecutive natural numbers is 51/7. find the numbersList all possible answers. The answers must be reduced fractions or integers.

Respuesta :

Let the two consecutive numbers are

[tex]2n+1,2n+2[/tex]

Given that

[tex]\frac{1}{2n+1}+\frac{1}{(2n+2)}=\frac{51}{7}[/tex]

Solving the equation

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