Question

the product of two numbers is 2160 and their hcf is 12 . numbers of such possible pairs is

Answer 1

Answer:

Step-by-step explanation:

2

HCF = 12

Numbers = 12x and 12y

where x and y are prime to each other

\therefore 12x \times 12y = 2160

=> xy = \frac{2160}{12\times 12} = 15

\because 15 = 3\times 5,\ 1\times 15

Possible pairs = (36, 60) and (12, 80)

hence, 2 is the correct answer