let '2n' represent the smaller integer, then '2n+2' represents the next consecutive even integer

the product is 46 less than 9 times their sum:

2n(2n+2) = 9(2n+2n+2) - 46

solving for 'n' we have:

n = {7, 1}

so n can either be equal to 7 or 1, giving:

2(7) = 14

2(7)+2 = 16

2(1)=2

2(1)+2 = 4

the pair of integers can either by {14,16} or {2,4}