Question

find the two natural numbers whose LCM is 2006 and their sum is 152​

Answer 1

Find two natural numbers, whose sum is 85 and LCM is 102.

I just broke 102 as 17∗2∗3 and saw that 85=17∗2+17∗3. So numbers are 34 and 51.

But I need a mathematical way of solving all such kind of problems, as I just did this problem in hit and trial fashion.

Thanks