exam Maths Puzzle Numerical Ability

One number is 3 times another number.The sum of their reciprocals is 4/9.What are the numbers?I got 4 and 12.That was wrong.The other choices are 1 and 2,2 and 6, and 3 and 9.Can somebody help me?

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exam Other Question
9/x^2-9x+14 - 7/x-2 16000(1+r)squared=25000
I know that the value of r is .25 but I found that through trial and error. can you help me figure out the equation used to solve for r and get .25?? thank you