if 1/2 is added to the reciprocal of a number, the result is 1 less than twice the reciprocal; of the original number. Find the
number.
2 answers:
Answer:
2/3
Step-by-step explanation:
Let x represent the number. Then its reciprocal (the reciprocal of the original number) is 1/x
1/2 + 1/x . . . . . 1/2 added to the reciprocal of a number
2/x -1 . . . . . . . 1 less than twice the reciprocal of the original number
We want these expressions to be equal:
The original number is 2/3.
Answer:
n = 1
Step-by-step explanation:
Represent the number with n.
Then: reciprocal of this numer is 1/n.
1/2 added to this reciprocal comes to 1/n + 1/2, and this is equal to
2(1/n) - 1.
We must simplify this equation and solve for n:
Use the LCD 2n:
2 + n = 4 - 1, or 2 + n = 3, or n = 1.
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