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

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(6294) (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!
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