Question

The hcf and lcm of two 2-digit number are 16 and 480 respectively. The numbers are

Answer 1

Answer:

5,6

Step-by-step explanation:

the two numbers are 5and 6

Answer 2

Answer:

80,96

Step-by-step explanation:

HCF is 16 and LCM is 480.

Now ,  

x = 16 x and y = 16 y ;

where x and y are relative prime numbers of each others.

Now, 16xy = LCM of s and t

16xy = 480

xy = 480/16 = 30

Now, relative prime to each other are (2,15), (3,10), (5,6).

Thus, numbers may be (32,240), (48,160), (80,96) .

Hence, required two digit numbers are 80 and 96 .