Question

The sum of two numbers is 320 and their lcm is 1584 what are those numbers

Answer 1

factors of 1584 = 2 x 2 x 2 x 2 x 3 x 3 x 11 = 2⁴ x 3² x 11

Factors 320 = 2 x 2 x 2 x2 x 2 x 2 x 5  = 2⁶ x 5

So HCF comes 16 So one number should be the multiple of 16

now left 9, 11 in LCM

16 x 9 = 144 and 16 x 11 = 176

So numbers are 144, 176