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The sum of three integers is 132. The largest number is three times as large
as the smallest number. The middle number is twice as large as the smallest
number. Find the value of the largest number​

Sagot :

Beomychoigyuid

LET :

  • x be the smallest number
  • 2x be the middle number
  • 3x be the largest number

MATHEMATICAL EQUATION :

  • [tex]x + 2x + 3x = 132[/tex]

SOLUTION :

solve for x :

  • [tex]x + 2 x + 3x = 132[/tex]
  • [tex]6x = 132[/tex]
  • [tex]x = 22[/tex]

solve for the middle number :

  • [tex]2x[/tex]
  • [tex]2(22)[/tex]
  • [tex]44[/tex]

solve for the largest number :

  • [tex]3x[/tex]
  • [tex]3(22)[/tex]
  • [tex]66[/tex]

CHECK :

  • [tex]x + 2x + 3x = 132[/tex]
  • [tex]22 + 44 + 66 = 132[/tex]
  • [tex]132 = 132[/tex]

CONCLUSION :

  • smallest number : 22
  • middle number : 44
  • largest number : 66

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