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Let one of the number be x, and the other number be y (from the problem we see that x and y are positive numbers).
Let x < y.

So we have:

x + y = 935
y/x = 16

y = 16x

x + y = 935 (substitute 16x for y)
x + 16x = 935
17x = 935 (divide by 17 to both sides)
x = 55

y = 16x = 16(55) = 880

Thus, the numbers are 55 and 880.

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