Answer:
x = 800 and y = 330
Explanation:
Let two numbers be x and y.
Sum of two numbers is 1130.
Their difference is 470.
So,
x+y=1130 ...(1)
x-y = 470 ...(2)
Add equation (1) and (2).
x+y+x-y = 1130+470
2x = 1600
x = 800
Put the value of x in equation (1)
800+y=1130
y = 1130-800
y = 330
So, the smallest number is 330 and the largest number is 800.