Question

AB= 2:3 B: C = 4 : 5 C:D = 3: 7 find A.B:C:D

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Answer 1

Answer:

8:12:15:35

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Step-by-step explanation:

to combine two ratios ie, A:B and B:C, where B is different in both, we have to make B the same number in both ratios by multiplying the individual ratios by the same number. to make a 4 number ratio using 3 given ratios, ie, A:B, B:C and C:D, we need to make A:B and B:C 's B equal in both, and the same for C in B:C and C:D. then, we combine the two ratios ie, A:B:C and B:C:D with B and C equal in both.

first, we find a:b:c.

which can be found since:

(2x4):(3x4) = A:B and B:C = (4x3):(5x3)

which is 8:12 and 12:15 so, A:B:C is 8:12:15.

now, we make B:C:D which can be found through:

B:C = (12x1):(15x1) and C:D = (3x5):(7x5)

which is 12:15 and 15:35

according to this, B:C:D = 12:15:35.

now, combing the two ratios, we can say that A:B:C:D = 8:12:15:35

this is true since A:B is the same in both ratios.