jmwbluedevil jmwbluedevil
  • 15-07-2019
  • Mathematics
contestada

the sum of four consecutive odd integers is -72. What is the value of the four intergers

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lambuhere
lambuhere lambuhere
  • 15-07-2019

Answer:

let the integers be x, x+2, x+4 and x+6

therefore,

x + x+2 + x+4 + x+6 = -72

=> 4x + 12 = -72

=> 4x = -72 - 12

=> x = -84/4

=> x = -21

therefore the integers are: -21, -19, -17, -15

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Ben
Ben Ben
  • 15-07-2019

[tex]\huge\boxed{\text{-21, -19, -17, -15}}[/tex]

Represent this mathematically. [tex]x+(x+2)+(x+4)+(x+6)=-72[/tex]

Combine like terms. [tex]4x+12=-72[/tex]

Subtract 12 from both sides. [tex]4x=-84[/tex]

Divide both sides by 4. [tex]x=-21[/tex]

Find the numbers by adding 2 each time. [tex]-21, -19, -17, -15[/tex]

Answer Link

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