The sum of two numbers is 52 and their LCM is 168. What are the numbers?

As LCM of two numbers is 168 that two numbers must be factors of 168

now think about what are all factors of 168 that are less than 52(because sum of those two is 52)

factors=(2,3,4,6,8,7,8,12,14,24,28,42)

from above factors u have to select two numbers such that sum of two is 52

only possibility is 24+28