If a - b- - 5 - 6- and b - c - 3 - 4 - find a - b - c- - 5 - 6 - 8-10 - 6 - 12-12 - 6 - 14-6 - 10 - 24-

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Continued Proportion

If a : b = 5...

Question

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

5 : 6 : 8

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10 : 6 : 12

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12 : 6 : 14

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6 : 10 : 24

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Solution

The correct option is A
5 : 6 : 8

When we multiply both the terms of the ratio by the common number ,the ratio remains the same

Hence multiply both the ratio in such a way that the common term acquires the same value

In this case b is the common term and LCM of 6 and 3 is 6

Hence we have a : b = 5 : 6 ( Multiplying both the terms by 1)

b : c = 3 :4 = 6 : 8 ( Multiplying both the terms by 2)

$∴$ a : b : c = 5 : 6 : 8

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