Which equation best shows this information?

Melissa's brother is 6 years less than twice her age. The sum of her age and her brother's age is 27. Which equation best shows this information?

A. x + (6 - 2x) = 27

B. x + (2x - 6) = 27

C. 2x - 6 = 27

D. x = 2x - 6

3 Answers

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  • 9 years ago
    Favorite Answer

    B. x + (2x - 6) = 27

    Let Melissa's age be x. Then her brother's age is 2x - 6. The sum of their ages is this:

    x + (2x - 6) = 27,

    Now we solve for each of their ages, and prove that the equation above satisfies the conditions of the problem:

    x + (2x - 6) = 27

    3x - 6 = 27

    3x = 27 + 6

    3x = 33

    x = 11.

    If Melissa's age is 11, then her brother's age is 2(11) - 6 = 22 - 6 = 16, and he sum of their ages is 11 + 16 = 27. Therefore, equation B. x + (2x - 6) = 27 best shows the information given in the problem.

  • 9 years ago

    B. x + (2x - 6) = 27

    Because...

    x + (2x - 6) = 27

    3x - 6 = 27

    3x =33

    x = 11

    And to check your answer...

    11 + [2 (11) - 6] = 27

    11 + (22 - 6) = 27

    11 + 16 = 27

    27 = 27

    Source(s): My brain ;)
  • 9 years ago

    (B) is the best fit for the information given.

    - .--

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