Let the numbers be x and y
x + y = 57 ........(i)
x - y = 13 ........(ii)
Add equations (i) and (ii) to eliminate y
x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35
From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22
The numbers are 35 and 22.
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