Answer:
The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3
Step-by-step explanation:
Let the two numbers be 'x' and 'y'.
Given:
The squares of the sum of two numbers = 144
The sum of their squares = 180
The sum of the numbers = 
The square of the sum of numbers = 
Square of first number = 
Square of second number = 
The sum of their squares = 
Now, as per question:

Expanding equation (1) using the formula 
This gives,

Plug in the value of 'y' from equation (3) in equation (1). This gives,

Therefore,

Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3