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Step-by-step explanation:
x + y = 200
x : y = 4 : 6
x + y = 200
y = 200 - x
x : y = 4 : 6
x : (200 - x) = 4 : 6
6.x = 4(200 - x)
6x = 800 - 4x
10x = 800
x = 800/10
x = 80
y = 200 - x
y = 200 - 80
y = 120
(x,y) = (80,120)