bella0511 bella0511
  • 24-02-2020
  • Mathematics
contestada


1.
Find four consecutive odd integers such that the sum of the second and third is 19 grater
than the fourth.

Respuesta :

LammettHash
LammettHash LammettHash
  • 24-02-2020

Let [tex]2n+1[/tex] be the first integer. Then the next three odd integers are [tex]2n+3,2n+5,2n+7[/tex]

The sum of the second and third integers is 19 greater than the fourth, so that

[tex](2n+3)+(2n+5)=19+(2n+7)\implies2n=18\implies n=9[/tex]

Then the first integer is 19, and the four integers in question are 19, 21, 23, and 25.

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