Question

show that p+q/q+s is a rational number lying between two unequal numbers q/q and r/s

Answer 1

Answer:

Q lies between P and R

Thus PR=PQ+QR

Now, we are given PQ=QR

Put QR=PQ

⇒PR=PQ+PQ

⇒PR=2PQ

⇒

2

1

PR=PQ

⇒PQ=

2

1

PR

Hence proved.