# SOLUTION: I'm not sure if I'm understanding this word problem correctly, could I have some help, thanks. The reciprocal of two more than a number is three fourths of the reciprocal of the nu

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 Click here to see ALL problems on Human-and-algebraic-language Question 130067: I'm not sure if I'm understanding this word problem correctly, could I have some help, thanks. The reciprocal of two more than a number is three fourths of the reciprocal of the number itself. what is the number? I have the expression x+2x=3/4 answer x=1/4 Is this correct? Please let me know, if not could you help me understand it, thank you.Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let n be the required number. "The reciprocal of 2 more than a number..." can be expressed as: "...three fourths of the reciprocal of the number itself." can be expressed as: Setting these two equal to each other we get: Simplify. Cross-multiply by the denominators. Simplify. Subtract 3n from both sides. The number is 6. Check: Substitute n = 6. It checks!