Fraction Equation Problem
Date: 10 May 1995 15:57:27 -0400 From: Dana Murray Subject: Question 4 Good Morning Sir! Thank you for the hint with Question 3. Let 1/a = a + 1/b = b + 1/c = c + 1/d = 2. What is the value of abcd? Thank you.
Date: 11 May 1995 10:29:18 -0400 From: Dr. Sydney Subject: Re: Question 4 Dear Dana, Hello! I'll give you some hints on this problem, and then perhaps you can solve it for yourself. First write out the problem as 4 equations: 1/a = 2 a + 1/b = 2 b + 1/c = 2 c + 1/d = 2 Now the problem looks easier. The first equation is the easiest to solve. Multiply both sides of the equation by a/2 to get : 1/2 = a Now, plug this value for a into the second equation, so the second equation now becomes: 1/2 + 1/b = 2 Now, solve this equation as you did the first, and you will know what b is. Repeat this for the last 2 equations, and you will find out how much c and d are. Now you can multiply these numbers together, and you will have the value of abcd! If you have any questions about this, feel free to write back. --Sydney, "dr.math"
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