Question

(1) If A: B = 2:3, B: C = 4 : 5 and C : D = 6:7, find A: D.
ii) If x : y = 2: 3 and y: z = 4:7, find x:y: z.
B.​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

according to concept of ratio and proportion—

(1) : (2) A:B = 2 : 3 B:C = 4 : 5 C:D = 6 : 7 A is the product of all terms appearing under column

(1). A = 2 x 4 x 6 = 48 B is the product of all terms under column (1) beginning from second row and term under column

(2) for all previous rows

. B = 4 x 6 x 3 = 72 C is the product of all terms under column (1) beginning from third row and terms under column(2) for all previous rows.

C = 6 x 3 x 5 = 90 D is the product of all terms appearing under column (2).

D = 3 x 5 x 7 = 105 =>

A:B:C:D = 48:72:90:105

You can find ratio between any two or three variables from above

. A:D = 48:105 = 16:35

Note : This logic can be extended to any number of rows If A:B, B:C, C:D, D:E, E:F, F:G, G:H, H:I is given, we can find A:B:C:D:E:F:G:H:I using above method.