SOLUTION: The ratio of two numbers is 5:7. If 6 is added to each number, the ratio of the numbers is 7:9. What are the numbers?

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Question 450945: The ratio of two numbers is 5:7. If 6 is added to each number, the ratio of the numbers is 7:9. What are the numbers?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Fy+=+5%2F7 ==> y+=+%287%2F5%29x
==> %28x%2B6%29%2F%28y%2B6%29+=+7%2F9 ==> %28x%2B6%29%2F%28%287%2F5%29x+%2B+6%29+=+7%2F9
==> %285%28x%2B6%29%29%2F%287x+%2B+30%29+=+7%2F9
45(x+6) = 7(7x + 30)
45x + 270 = 49x + 210
60 = 4x
x = 15.
==> y = 21.