Question

If a : b = 5 : 6 and b : c = 3 : 4 , find a : b : c

• A. 5 : 6 : 8
• B. 10 : 6 : 12
• C. 12 : 6 : 14
• D. 6 : 10 : 24

Answer 1

The correct option is A

5 : 6 : 8

When we multiply both the terms of the ratio by the common number ,the ratio remains the same

Hence multiply both the ratio in such a way that the common term acquires the same value

In this case b is the common term and LCM of 6 and 3 is 6

Hence we have a : b = 5 : 6 ( Multiplying both the terms by 1)

b : c = 3 :4 = 6 : 8 ( Multiplying both the terms by 2)

$\therefore$ a : b : c = 5 : 6 : 8