Select the correct answerIf a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options15 : 24 : 2815 : 24 : 325 : 8 : 65 : 6 : 8

Question

Select the correct answerIf a : b = 5 : 8 and c : b = 4 : 3, then a : b : c is equal to:Options15 : 24 : 2815 : 24 : 325 : 8 : 65 : 6 : 8

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Solution

The given ratios are a : b = 5 : 8 and c : b = 4 : 3.

To find the ratio a : b : c, we need to make the 'b' term common in both the ratios.

The given ratios can be written as a/b = 5/8 and b/c = 3/4 (since c : b = 4 : 3 is equivalent to b/c = 3/4).

Now, we can multiply these two ratios to get a : b : c.

So, a/b * b/c = (5/8) * (3/4) = 15/32.

Therefore, a : b : c = 15 : 24 : 32.

So, the correct answer is 15 : 24 : 32.

This problem has been solved

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