assume x is an even natural number and y is natural number such that y<x. if lcm(x,y)=2100 and gcf(x,y)=3 ,the find x and y
let x = 3k , where k and m have no common factors
let y = 3m
then 3km = 2100
km = 700
700 = 2*2*5*5*7 , I will pick 28*25 ---> k = 28, m = 25 <--- can't have common factors
x = 84 , y = 75
check:
x = 2*2*3*7
y = 3*5*5 , HCF = 3, LCM = 2*2*3*5*5*7 = 2100