Question

Write a pair of integers whose difference gives an integer smaller than both the integers.

Answer 1

So you want integers x and y such that

x - y > x and x - y > y

From x - y > x we get y < 0.
From x - y > y we get x > 2y.

So y has to be a negative integer and x has to be greater than 2y.

OK. So if y = -3, we can let x = -2 since -2 > 2(-3).

(-2) - (-3) = -2 + 3 = 1

1 > (-2)
1 > (-3)

So
(-2) - (-3) > (-2)
(-2) - (-3) > (-3)