SOLUTION: The sum of the ages of a brother and sister is 27. If four times the brother's age is subtracted from three times the sister's age, the difference is 11.

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Question 399675: The sum of the ages of a brother and sister is 27. If four times the brother's age is subtracted from three times the sister's age, the difference is 11.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi, The sum of the ages of a brother and sister is 27

Let x and (27-x))represent the sister's and brother's ages respectively

Question states***

 3x - 4(27-x)= 11

Solving for x

 3x + 4x - 108 = 11

  7x = 119

   x = 17, the sister's age.  The brother is 10   (27-17)

 

CHECKING our Answer***

  3*17 - 4*10 = 51 - 40 = 11