If 9 is subtracted from two thirds of a number, the result is 7. What is the number?

NetherCraft 0

How do I solve this?

8 Answers

  • 24

    Let x represent the unknown number.

    2/3 X – 9 = 7

    2/3 X – 9 + 9 = 7 + 9

    2/3 X = 16

    2/3 X (3/2) = 16 (3/2)

    X = 24

  • “If 9 is subtracted from two thirds of a number, the result is 7.”

    (⅔)x – 9 = 7

    (⅔)x = 16

    x = 16 × (3/2)

    = 24

  • Use algebra. Call the number you don’t know x. So:

    (2/3 * x) – 9 = 7

    2/3 * x = 7 + 9 = 16

    Divide both sides by 2/3

    x = 16 divided by 2/3 = 24

  • 9 + 7 is 16

    16 is two thirds of what?

  • 24

    9+7= 16= 2 thirds of a number

    16/2= 8= 1 third

    24= 1 third x 3 = 3 thirds

  • 24. Two thirds of 24 is 16. 9 subtracted from 16 is 7.

    Ding

  • Use a variable:

    (2/3)x – 9 = 7

         +9    +9

    (3/2)(2/3)x = 16(3/2)

    x = 24

  • Let that number be x

    Then 2/3(x)-9 = 7

    simplifying,

    2x/3=16

    2x=16(3)=48

    =>x=48/2 = 24

    THe number was 24!

    Source(s): hope that helps 🙂

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