# 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

Relevance
• 9 years ago

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

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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