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Question
If p + r = mq and `1/q + 1/s = m/r`; then prove that p : q = r : s.
Solution
`1/q + 1/s = m/r`
`(s + q)/(qs) = m/r`
`(s + q)/s = (mq)/r`
`(s + q)/s = (p + r)/r ` ...(∵ p + r = mq)
`1 + q/s = p/r + 1`
`q/s = p/r`
`p/q = r/s`
Hence, proved.
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