A natural number, when increased by 12, equals 160 times its reciprocal. Find the number?

Let the number be x.

Then according question,

x + 12 = 160/x

x² + 12x – 160 = 0

x² + 20x – 8x – 160 = 0

(x + 20) (x – 8) = 0

x = -20, 8

Since the number is natural, so we consider only positive value.

So, x = 8