let the numbers be x and y
x + y = 5
x - y = 5/3
from above eqn,
x = 5/3 + y
then, on substituting to the 1st eqn,
5/3 + y + y = 5
5/3 + 2y = 5
2y = 5 - 5/3
2y = 10/3
y = 5/3 or 1 1/3
then,
x will be
x = 5/3 + 5/3
x = 10/3 or 3 1/3
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