Evaluate if array has sum equal to max value

has_sum_with_max_val.rb

def has_sum_with_max_val(arr)
  raise "Invalid Input Array" if arr.nil? || arr.length < 3
  raise "Contains Invalid Value" if arr.any? { |n| !n.is_a? Numeric || n < 0  }
  
  has_max_sum = false
  arr.sort! { |a, b| b <=> a }
  max_num = arr.shift
  
  arr.each_with_index do |num, i|
    total = num

    (i + 1).upto(arr.length - 1) do |j|
      new_total = total + arr[j]
      
      if new_total > max_num 
        next
      else
        total = new_total
      end
        
      if total == max_num
        has_max_sum = true
        break
      end
      
    end
  end
  
  has_max_sum
end

puts has_sum_with_max_val [1,2,5,7,10]