If three integers add to an even then all three are even or one even and two are odd. Count them.
All three digits are even: 4*5*5 = 100
First digit is even, second and third are odd: 4*5*5 = 100
First digit is odd, second is even, third is odd: 5*5*5 = 125
First digit is odd, second is odd, third is even: 5*5*5 = 125
All three digits are even: 4*5*5 = 100
First digit is even, second and third are odd: 4*5*5 = 100
First digit is odd, second is even, third is odd: 5*5*5 = 125
First digit is odd, second is odd, third is even: 5*5*5 = 125