3x + 3y > 100,000 → 3(x + y) > 100,000 → x + y > 100,000 ÷ 3
His score has to be a multiple of 3 in order to have a whole number
100,000 ÷ 3 = 33,333 .33
100,001 ÷ 3 = 33,333.66
100,002 ÷ 3 = 33,334 (the first multiple of 3 greater than 100,000)
His score could be 100,002 or 100,002 + 3n; where n is a whole number
