ChaysonE163648 ChaysonE163648
  • 25-10-2022
  • Mathematics
contestada

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 :

EzekielO260690 EzekielO260690
  • 25-10-2022

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

[tex]undefined[/tex]

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