Given that \(a : b = 5 : 3\) and \(b : c = 2 : 5\). Which of the following is true?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(b\lt a\lt c\)
To join two ratios, make the common term (b) the same in both. Here b is 3 in the first ratio and 2 in the second, so make it 6 (the LCM of 3 and 2).
\(a:b=5:3=10:6\)
\(b:c=2:5=6:15\)
\(a:b:c=10:6:15\)
So b (6) is the smallest and c (15) the largest: \(b\lt a\lt c\).