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p, q and r are three positive numbers and Q = p+q+r/2. If
(Q-p) : (Q-q) : (Q-r) = 2 : 5 : 7, then find the ratio of p, q and r?
Q-p/Q-q/Q-r = 2:5:7
Q-p = 2K ........1
Q-q = 5k ..........2
Q-r = 7k .........3
adding all these eq
3Q -(p+q+r) = 14k ...........4
p+q+r/2 = Q (given)
using this eq 4 becomes
Q = 14k
putting Q in 1 ,2 ,3
p = 12k , q = 9k , r = 7k
ratio = p:q:r = 12:9:7
approve my ans if u like it
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