Three friends

Peter is eight times older than Rado, Rado is 3 times younger than Joseph. Together they have 120 years. Determine how many are each of them.

Correct result:

P =  80
R =  10
J =  30

Solution:


P=8R
R = J/3
P+R+J= 120

P-8R = 0
J-3R = 0
J+P+R = 120

J = 30
P = 80
R = 10

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