What is the smallest value?

Question

asked Jul 3, 2019 148k views

1 Answer

Fernando Moyano · Answer 1 · 2019-07-07T12:56:40+0000

$\bf{Given : (a)/(b) = (3)/(8)}$

$\bf{Given : (b)/(c) = (6)/(11)}$

The Least Common Multiple of 6 and 8 is 24

$\bf{\implies (a)/(b) = (9)/(24)}$

$\bf{\implies (b)/(c) = (24)/(44)}$

⇒ 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