SOLUTION: Number A divided by number B equals one-fourth. Number B divided by number A equals two times number A. What are the two numbers?

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Question 1056633: Number A divided by number B equals one-fourth. Number B divided by number A equals two times number A. What are the two numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Number A divided by number B equals one-fourth.
A%2FB = 1%2F4
Cross multiply
B = 4A
Number B divided by number A equals two times number A.
B%2FA = 2A
Replace B with 4A (from the fist statement)
%284A%29%2FA = 2A
Cancel A on the left
4 = 2A
2 = A
then
B = 4(2)
B = 8
:
What are the two numbers? A=2; B=8