we assume "cold integers" should be read as "odd integers"

let '2n+1' represent the first odd integer, then "2n+3" represents the second

the product of these integers is 9 more than 10 times the smaller:

(2n+1)(2n+3)=10(2n+1)+9

solving for n we have:

n={-1,4}

2(-1)+1 = -1

2(4)+1 = 9

if we stick with positive-valued integers, the answer is (9,11)