Answer:
14
Step-by-step explanation:
If we denote the two numbers as x and y, the conditions stated in the question can be written as the following two equations:
x + y = 30,
x^2 + y^2 = 458.
Solving these two equations would yield the two pair of solutions (14, 16) and (16, 14). This means the two numbers can either be 14 and 16. Since the question is asking for the smaller number, the answer is 14.