Answer:

The two numbers are 6 and 3.

Step-by-step explanation:

Let a and b are the numbers.

• a + b = 9
• (6) + (3) = 9

• a² + b² = 45
• (6)² + (3)² = 45
• 36 + 9 = 45

The two numbers are 3 and 6.

Step-by-step explanation:

[tex]3 + 6 = 9[/tex]

[tex] {3}^{2} + {6}^{2} = 45[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {6}^{2} = 36[/tex]

[tex]9 + 36 = 45[/tex]