If P:Q=3:4 and Q:R=4:7, then find the value of (P+Q):(Q+R):(R+P).

P:Q=3:4 , and Q:R=4:7

Simple ratio;

If x : y and y : z, then, combined ratio is x : y : z

As per the question;

P : Q = 3:4, Q : R = 4 : 7

Then,

P : Q : R = 3 : 4 : 7

Let P = 3x, Q = 4x, R = 7x

Now,

(P+Q):(Q+R):(R+P)

= 7x : 11x : 10x

= 7 : 11 : 10