Answer 1

Let the two numbers be 10x and 9x.
Product of the two numbers = 360
∴ 10x × 9x = 360
⇒ 90x² = 360
⇒ x² = 4
⇒ x = 2
∴ One number = 10x = 10 × 2 = 20
Other number = 9x = 9 × 2 = 18
Thus, the two numbers are 18 and 20.