Example HTML:
How can I add the class class_two without replacing
You may use jQuery.
$('#YourElement').addClass('YourClass'); //add
$('#YourElement').removeClass('YourClass'); //remove
$('#YourElement').toggleClass('YourClass'); //toggle
Or Javascript, if you wish.
document.getElementById('id').classList.add('YourClass'); //add
document.getElementById('id').classList.remove('YourClass'); //remove