Question

Q. The sum of two positive integers is 52 and their LCM is 168. Find the numbers.

Answer 1

Dear,
your answer is here

First factorize 168...
168 = 2 * 2 * 2 * 3 * 7

Now from the set of numbers { 2, 2, 2, 3, 7 }, choose two subsets such that the sum of their products is 52.

By trial and error, you will get two subsets {2, 2, 2, 3} and {2, 2, 7} such that
24 + 28 =52 !