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The sum of the reciprocal of a number and the reciprocal of 4 less than the number is 6 times the reciprocal of the original number find the original number?
Wiki User
∙ 14y ago
Suppose the original number is x.
Then 1/x + 1/(x-4) = 6/x
Subtract 1/x form both sides: 1/(x-4) = 5/x
Take reciprocals of both sides: x - 4 = x/5
Multiply both sides by 5: 5x - 20 = x
Subtract x from both sides: 4x - 20 = 0
So 4x = 20 and so x = 5
Wiki User
∙ 14y ago
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Two times the reciprocal of a number equals 32 times the reciprocal of 40 Find the number?
80
The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number Find the number?
10
Two times the reciprocal of a number equals 16 times the reciprocal of 20 Find the number?
2/x =16/20 16x = 40 x = 2.5
How do you find the reciprocal of a whole number and a fraction?
Number x Reciprocal = 1 Therefore Reciprocal = 1/Number
What is reciprocal of a number?
The reciprocal of a number is the inverse of that number. It is obtained by dividing 1 by the number. For example, the reciprocal of 5 is 1/5 and the reciprocal of 3/4 is 4/3.
How do you find the reciprocal?
The reciprocal of a number is what the original number is multiplied by to get 1. To find this you can simply divide 1 by the number you want the reciprocal for or, if the number is in fraction form, switch the denominator and numerator.
Two times the reciprocal of a number equals 32 times the reciprocal of 40 Find the number?
80
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-3
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-3
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4
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10
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One.
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