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Let n be the number, then:

1/n - 1/3n = 1/6

Solve the subtraction on the left:

1/n - 1/3n = 3/3n - 1/3n

= 2/3n

But we know this is 1/6, thus:

2/3n = 1/6

⇒ 3n = 12

⇒ n = 4

Thus the number is 4.

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Q: When the reciproral of three times a number is substracted from the reciprocal number the result is one sixth find the number?
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