Question

if Lcm of 20 and 24 is of the form 16x+y then y=____ x>0 and y>0

please tell me answers guys please urjent​

Answer 1

Answer:

Step-by-step explanation:

(1) The lowest common multiple of x and 16 is 48 --> x can be 3, 6, 12, 24, or 48. Not sufficient.

(2) The greatest common factor of x and 16 is 4 --> x can take more than one value, for example, 4, 12, 20, .. (basically any number of the form 4*odd). Not sufficient.

(1)+(2) The most important property of LCM and GCD is: for any positive integers xx and yy, x∗y=GCD(x,y)∗LCM(x,y)x∗y=GCD(x,y)∗LCM(x,y). According to this 16x=48*4 --> x=12. Sufficient.