SOLUTION: one number is equal to two times a second number. two time the first number plus two times the second number is 24. if you let x stand for the first number and y for the second, wh

Algebra ->  Equations -> SOLUTION: one number is equal to two times a second number. two time the first number plus two times the second number is 24. if you let x stand for the first number and y for the second, wh      Log On


   

Question 76056: one number is equal to two times a second number. two time the first number plus two times the second number is 24. if you let x stand for the first number and y for the second, what are the two number.
Answer by rmromero(383) About Me  (Show Source):
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one number is equal to two times a second number. two time the first number plus two times the second number is 24. if you let x stand for the first number and y for the second, what are the two number.



What is asked in the problem?

What are the two numbers.



Given:

one number is equal to two times the second number.

two times the first number plus two times the second number is 24





Representation

   Let x = the first number

       y = the second number



Equation:

        x = 2y

  2x + 2y = 24



We can use substitution to solve for this.



   2x + 2y = 24   divide all terms by 2 to simplify

     x + y = 12 

    2y + y = 12

        3y = 12

         y = 4





      x = 2y, y = 4

      x = 2(4)

      x = 8



Checking:

         2x + 2y = 24

     2(8) + 2(4) = 24

          16 + 8 = 24

              24 = 24  ------> True





Therefore:

first number = 8

second number = 4







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