Is type casting required?. I think it is not required. Even though it is a varchar type, SQL Engine will convert it internally in this scenario. Please correct me, if I wrong.
The below code will work:
CASE
WHEN [Age (Working Days)] < 30
THEN '1 - 29'
WHEN [Age (Working Days)] < 60
THEN '30 - 59'
WHEN [Age (Working Days)] < 90
THEN '60 - 89'
WHEN [Age (Working Days)] < 120
THEN '90 - 119'
ELSE'120 +'