Решение

var arr = ['kot', 'tok', 'okt'],
 arr1 = ['kot', 'tok', 'ott'];

function sameWords(arr) {
  var word1, word2;
  
  for (var i = 0; i < arr.length-1; i++) {
    word1 = 0;
    word2 = 0;
    
    if (arr[i].length !== arr[i+1].length) {
        return false;   
    } else {
      for (var j = 0; j < arr[i].length; j++) {
        word1 += arr[i][j].charCodeAt(0);
        word2 += arr[i+1][j].charCodeAt(0);
      }
      
      if (word1 !== word2) {
        return false;
      }
    }      
  }
  
  return true;
}

console.log(sameWords(arr));
console.log(sameWords(arr1));