Question about integers

Question

The integer x is the sum of 3 different positive integers, each less than 10. The integer y is the sum of 3 different positive integers, each less than 20. What is the smallest possible value of x/y ?

Answer 1

We need the smallest possible for x while getting the largest possible for y.

The smallest possibility for x is 1 + 2 + 3, which equals 6.

The largest possibility for y is 19 + 18 + 17, which equals 54

 

When we have x/y, we get 6/54, which reduces down to 1/9.