Certainly! Let's break down the problem.
a) We are given that the ratio of two numbers is 3:8, and the smaller number is 12.
(i) In any given ratio of the form [tex]\( a:b \)[/tex], the antecedent is the first term (a) and the consequent is the second term (b).
So, for the ratio 3:8, the antecedent (the first term) is 3 and the consequent (the second term) is 8.
Therefore:
- The antecedent in the given ratio is 3.
- The consequent in the given ratio is 8.