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Question

The difference between a natural number and twice its reciprocal is 477, then the number is

A
2
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B
4
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C
8
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D
7
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Solution

The correct option is D 7
Let the natural number be x
As per given conditions, we get
x2x=477x22x=4777x214=47x7x247x14=07x249x+2x14=07x(x7)+2(x7)=0(7x+2)(x7)=0x=27,7x=7 (xN)

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