There are three positive numbers, 1/3rd of average of all the three numbers is 8 less than the value of the highest number. Average of the lowest and the second lowest number is 8. Which is the highest number

  • 11
  • 14
  • 10
  • 9
  • 13
  • Explanation:

    Let the three numbers be x, y and z

    It is given that,       y+z/2 = 8

    ⇒ y+z=16

    and x-1/3[x+y+z/3] = 8

    ⇒x-x+y+z/9=8

    ⇒x-x+16/9=8

    ⇒9x-x-16=72

    ⇒8x=88

    ∴x=11

There are three positive numbers, 1/3rd of average of all the three numbers is 8 less than the value
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