Question

The LCM of two numbers is 210 and their ratio is 2 : 3. The sum of these numbers is

Answer 1

Let the two numbers be 2n and 3n

Their LCM = 48 and their HCF = x

LCM*HCF = 2x*3x

48x = 6x^2, or

48 = 6x, or

x = 8

so the numbers are 16 and 24.

The sum of the two numbers is 40.