SOLUTION: Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 is added to the other, ratio becomes 1:2. Find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 is added to the other, ratio becomes 1:2. Find the numbers.       Log On


   

Question 616878: Two numbers are such that the ratio between them is 3:5. If one is added to the one and 7 is added to the other, ratio becomes 1:2. Find the numbers.


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

Hi, Previously Posted

Two numbers x and y are such that the ratio between them is 3:5.

  +x%2Fy+=+3%2F5 or x+=+%283%2F5%29y

If one is added to the one and 7 is added to the other, ratio becomes 1:2.

 %28+%283%2F5%29y+%2B+1%29%2F%28y%2B7%29+=+1%2Fhighlight%282%29   |||Cross Multiplying to solve

    (y+7) = (6/5)y + 2

       5 = (1/5)y

       y = 25   and x = 15

CHECKING our Answer***

       16%2F32+=+1%2F2