SOLUTION: Twice the reciprocal of a number subtracted from four is equal to three. Find the number. Please help

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Question 1086161: Twice the reciprocal of a number subtracted from four is equal to three. Find the number. Please help
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let a number be x, then its reciprocal is 1%2Fx
Twice the reciprocal of a number: 2%281%2Fx%29 or 2%2Fx
subtracted from four:+4-2%2Fx
is equal to three:+4-2%2Fx=3...solve for x
+4-3=2%2Fx
+1=2%2Fx
+1%2Ax=2
+highlight%28x=2%29

so, your number is +highlight%282%29 and its reciprocal is +highlight%281%2F2%29
check:
+4-2%2Fx=3
+4-2%2F2=3
+4-1=3
+3=3