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77

Step-by-step explanation:

b is present in both ratios, find first the LCM of 8 and 6, which is 24.

Multiply a:b=3:8 by 3 to get a:b=9:24

Similarly, multiply b:c=6:11 by 4 to get b:c=24:44

Then we conclude

a:b:c=9:24:44

Since there is no common factor among the three numbers, this is the simplest ratio possible.

If a,b and c are integers, the smallest values for a,b and c are 9,24,44.

Add up the three numbers to get the least value of a+b+c=77.

77

Step-by-step explanation

Assuming a, b, and c are all natural numbers:

First, set b equal to each other in each ratio

a : b = 3 : 8 = 9 : 24

b : c = 6 : 11 = 24 : 44

You have your smallest values for a, b, and c: 9, 24, 44

Adding them yields 77

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step-by-step explanation:

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