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

Sum

`"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

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Chapter 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (B) [Page 94]

Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (B) | Q 16. | Page 94

If x², 4 and 9 are in continued proportion, find x.

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