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sergij07 [2.7K]
3 years ago
9

The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#:   x

Second#:   y

Constraints:

   x + y = 50      

   1/4x + 2/3y = 25

Isolate variable y:

   x + y = 50    

  -1/4 (x + y = 50 )

 -1/4x - 1/4y = -12.5

  Add equations the two equations to eliminate x:

    -1/4x - 1/4y = -12.5

     1/4x + 2/3y = 25

  _________________

       5/12y = 12.5

           5y = 150

              y = 30

Substitution to find x:

       x + y = 50  

       x + 30 = 50

              x = 20

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To double check, when you do 90 (The pages/amount) divided by 5 ( The time), then you get 18 again.

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