Both Montek IC and Monticope contain Montelukast + an antihistamine, but the type of antihistamine is different.
Montek IC has Montelukast + Levocetirizine which is usually less sedating.
Monticope has Montelukast + Cetrizine which can cause more drowsiness in some people.
Next Steps
They are used for similar conditions like allergy, cold, or cough. However, since your doctor specifically prescribed Montek IC, it is better to use the same one unless your doctor advises otherwise, especially considering your age and any other health issues.
Health Tips
Please check with your prescribing doctor before switching.