SOLUTION: the sum of the reciprocals of 2 numbers is 3/2 and the difference of their reciprocals is 1/6, what iare the two numbers?
Let x = number1
Let 1/x= reciprocal of number1
Let
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Let x = number1
Let 1/x= reciprocal of number1
Let
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Question 162267: the sum of the reciprocals of 2 numbers is 3/2 and the difference of their reciprocals is 1/6, what iare the two numbers?
Let x = number1
Let 1/x= reciprocal of number1
Let y= number2
Let 1/y= reciprocal of number2
1/x + 1/y = 3/2
1/x - 1/y = 1/6 by elimination method (combination method)
2/x + 0 = 3/2 + 1/6
2/x= 9/6 + 1/6
2/x = 10/6
12=10x
12/10=x
6/5=x
and 1/x= 5/6
Remember
1/x + 1/y = 3/2
5/6 + 1/y = 3/2
1/y= 3/2 - 5/6
1/y = 9/6 - 5/6
1/y= 4/6
Then y= 6/4
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