Larger number = 52, and smaller number = 13
Explanation:
The two numbers are x and y. x is 4 times greater than y, so x/4=y, so 4y=x. If you add them together, it is x+y, and we know what x equals, so the equations is 4y+y=65. 5y =65. 5y/5+65/5, and y=13 and x = 52