Question

what is the smallest value?

Answer 1

$\bf{Given : \frac{a}{b} = \frac{3}{8}}$

$\bf{Given : \frac{b}{c} = \frac{6}{11}}$

The Least Common Multiple of 6 and 8 is 24

$\bf{\implies \frac{a}{b} = \frac{9}{24}}$

$\bf{\implies \frac{b}{c} = \frac{24}{44}}$

⇒ Smallest Possible Value of a is 9

⇒ Smallest Possible Value of b is 24

⇒ Smallest Possible Value of c is 44

⇒ Smallest Possible Value of a + b + c is (9 + 24 + 44) = 77