SOLUTION: 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 s

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Question 89874: 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?
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
One number is 3 times another number.The sum of their reciprocals is 4/9.What are the numbers?The choices are 1 and 2,2 and 6, and 3 and 9.
:
Givens:
Let "another number" be: x, its reciprocal is: 1/x
Then "one number" is: 3x, its reciprocal is: 1/3x
sum means add
Problem to solve:
Multiply both sides by the LCD, 9x:






"another number" x=3
"one number" 3x=3(3)=9
The numbers are 3 and 9.
Happy Calculating!!!

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