Sum of two integers is 805
x+y=805...............(1)
Difference is 105
x-y=105...............(2)
Add (1) and (2)
x+y=805
x-y=105
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2x=910
2x=910
2x/2=910/2
x=455
Put the value of x in (1)
x+y=805...............(1)
455+y=805
y=805-455
y=350
Larger integer = x = 455
Smaller integer = y = 350