SOLUTION: How do you write and interpret the following questions: 1) Luke is 4 years older than his sister. In 10 years the sum of their ages will be 60 years. How old is each? 2) What

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Question 620221: How do you write and interpret the following questions:
1) Luke is 4 years older than his sister. In 10 years the sum of their ages will be 60 years. How old is each?
2) What is the area of a square whose perimeter is represented by 12x?

Found 2 solutions by solver91311, ewatrrr:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the sister's age now. Then is the older brother's age now. 10 years from now the sister will be and the brother will be , and at that time the sum will be 60, so:

.

Solve for , then calculate

John

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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Luke is 4 years older than his sister's agehighlight%28x%29

  In 10 years the sum of their ages will be 60 years. 

   (x+10) + [(x+4) + 10 = 60

      2x + 24 = 60

         2x = 36

          x = 18, the sister's age.  Luke is 22.  

CHECKING our Answer***

  28 + 32 = 60 



area of a square(with sidehighlight%28s%29)whose perimeter is represented by 12x.  P = 4s = 12x,  s = 3x

 A = s^2 = (3x)(3x) = 6x^2