perplexus.info :: Just Math : Sum Expression Value Determination

Sum Expression Value Determination (Posted on 2015-10-18)

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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