Question

LCM of 2 numbers is 48. If numbers are in the ratio 2:3, then find the HCF of the numbers..

Answer 1

first know what is LCM
it is least common multiple or a number that can be fairly divided by each of the numbers taken initially .
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,
x = 8
So the numbers are 16 and 24
the sum of two numbers is 40