SOLUTION: two numbers are in the ratio 5:6. If 9 is added to each of the numbers, then the ratio becomes 6:7. Find the numbers.

Algebra ->  Expressions-with-variables -> SOLUTION: two numbers are in the ratio 5:6. If 9 is added to each of the numbers, then the ratio becomes 6:7. Find the numbers.      Log On


   

Question 408371: two numbers are in the ratio 5:6. If 9 is added to each of the numbers, then the ratio becomes 6:7. Find the numbers.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose our two numbers are 5x and 6x. Then,

%285x+%2B+9%29%2F%286x+%2B+9%29+=+6%2F7. Cross multiplying,

36x+%2B+54+=+35x+%2B+63

x+=+9, so the numbers are 45 and 54.