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# If P: Q = R: S; Then Show That: Mp + Nq : Q = Mr + Ns : S. - Mathematics

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#### Question

If p: q = r: s; then show that: mp + nq : q = mr + ns : s.

#### Solution

p/q = r/s

=> (mp)/q = (mr)/s

=> (mp)/q + n = (mr)/s + n

=> (mp + nq)/q = (mr + ns)/s

Hence mp + nq : q = mr + ns : s

Is there an error in this question or solution?