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Sum Expression Value Determination (Posted on 2015-10-18) Difficulty: 3 of 5
Each of A, B and C is a positive real number satisfying this system of equations:
A*B*C = 1, A+1/C =5 and, B+1/A = 29

Find C+1/B

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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another way Comment 3 of 3 |
AB=1/C from E1

A+AB=5 substituting in E2

A(1+B)=5 factoring new E2

1+B=30-1/A from E3

A(30-1/A)=5 substituting in new E2

30A-1=5 multiplying

A=1/5 and B=24, C=5/24 follow easily so C+1/B=1/4.

  Posted by xdog on 2015-10-19 11:00:48
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