SOLUTION: The ratio of two numbers is 8 to 5. The difference of the numbers is 24. What are the numbers?

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Question 581846: The ratio of two numbers is 8 to 5. The difference of the numbers is 24. What are the numbers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers a and b
given:
+a%2Fb+=+8%2F5+
+a+-+b+=+24+
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+a%2Fb+=+8%2F5+
+5a+=+8b+
+a+=+%288%2F5%29%2Ab+
+%288%2F5%29%2Ab+-+b+=+24+
+b%2A%28+8%2F5+-+5%2F5+%29+=+24+
+%283%2F5%29%2Ab+=+24+%7D%7D%0D%0A%7B%7B%7B+b+=+%285%2F3%29%2A24+
+b+=+40+
and
+a+-+b+=+24+
+a+-+40+=+24+
+a+=+64+
The numbers are 64 and 40
check:
+a%2Fb+=+8%2F5+
+64%2F40+=+8%2F5+
+5%2A64+=+8%2A40+
+320+=+320+
OK