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LCM and GCD Equation (Posted on 2016-05-03) Difficulty: 3 of 5
Find all triplets (X,Y,Z) of positive integers that satisfy this system of equations:

lcm(X,Y,Z) + Y +Z = 426, and:

X + gcd(X,Y,Z) + Z = 66, and:

X+Y+Z =90

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(X, Y, Z) = (24, 30, 36), and (42, 27, 21) are the required solutions to the given system of equations.

For an explanation, refer to the computer program assisted solution submitted by Charlie in this location..

Armando's analytic solution here only gives the first triplet, that is: (24,30,36)

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  Subject Author Date
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think and tryarmando2016-05-04 04:54:42
Solutioncomputer solutionCharlie2016-05-03 19:05:37
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