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Q: What is the sum if the second number is the reciprocal of the first?
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The sum of two number and one is 100 if the first number is twice the second number numberfind the number?

If the first number is 100 then the second number is 50 and the sum is 150. If the second number is 100 then the first number is 200 and the sum is 300. The question cannot be answered with one solution as it is currently worded.


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A number . . . ' x 'Its reciprocal . . . 1/xTwice its reciprocal . . . 2/xThe sum of (the number) and (twice its reciprocal) . . . x + 2/xThe equation:x + 2/x = 3Multiply each side of the equation by 'x' :x2 + 2 = 3xSubtract 3x from each side:x2 - 3x + 2 = 0Factor the left side, in order to see what's going on:(x - 1) (x - 2) = 0This is true if 'x' is either ' 1 ' or ' 2 '.x = 1The sum of the number and twice its reciprocal . . . 1 + 2/1 = 3X = 2The sum of the number and twice its reciprocal . . . 2 + 2/2 = 3


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In any division sum, such as 12 / 4 = 3, the first number is the dividend, the second number is the divisor, and the third number is called the quotient.