So X+Y=10 and LCM(X,Y)=12
K × LCM(X,Y)=(X×Y)
where k is a positive integer.
check the possibilities i.e 0+10 ,1+9 , 2+8, 3+7 ,4+6 , 5+5 .... check the second condition, we can understand that product of 6 and 4 which is 24 is a multiple of 12.
so answer is 6 and 4...
LIKE IF SATISFIED