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Consistency parameter (Posted on 2019-01-30) Difficulty: 2 of 5
For what value K is the following system consistent?
(i) p+q=6
(ii) kp+q=18
(iii) p+kq=30

Source: Terry Stickel, Challenging Math Problems, 2015

No Solution Yet Submitted by Ady TZIDON    
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Solution solution | Comment 1 of 3
(k+1)(p+q) = 48 from ii and iii

6(k+1) = 48 by substitution from i

k+1 = 8

k=7  ... the answer

p=2 and q=4 are the other two values.

  Posted by Charlie on 2019-01-30 11:38:01
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