Question

Find a:b:c when (1) a:b=4:7 and b:c=5:3, and (2) a:b=7 1/2:3 and 1 1/4:3​

Answer 1

Answer:

How to do it ?

—— (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

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