x \plus{} 19y \equiv 0 \pmod {23} and x \plus{} y < 69. How many pairs of (x,y) are there in positive integers?<spanclass=′latex−bold′>(A)</span>100<spanclass=′latex−bold′>(B)</span>102<spanclass=′latex−bold′>(C)</span>105<spanclass=′latex−bold′>(D)</span>109<spanclass=′latex−bold′>(E)</span>None