NutelladippedChicken
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  • 03-09-2021
  • Mathematics
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The sum of three consecutive even integers is 36. What is the second integers?

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DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 03-09-2021

let the consecutive even integers be 2x , 2x + 2 and 2x + 4

let's solve for values of the integers :

  • [tex]2x + 2x + 2 + 2x + 4 = 36[/tex]

  • [tex]6x + 6 = 36[/tex]

  • [tex]6x = 36 - 6[/tex]

  • [tex]x = \dfrac{30}{6} [/tex]

  • [tex]x = 5[/tex]

therefore, the consecutive even integers are :

  • [tex]2x = 2 \times 5 = 10[/tex]

  • [tex]2x + 2 = 10 + 2 = 12[/tex]

  • [tex]2x + 4 = 10 + 4 = 14[/tex]

I hope it helped...

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