Question

two positive number have HCF of 12 and their produced product of a 633 6 the number of pear possible for the number is 1​

Answer 1

Answer:

Step-by-step explanation:

Let the numbers be 12x and 12y, where x and y are co-primes.

Product of the numbers = 144xy

144xy=6336

xy=44

44 can be written as the product of two factors in three ways, i.e., 1×44,2×22,4×11

As x and y are relatively prime, (x,y) can be (1,44) or (4,11) but not (2,22).

Hence two possible pairs exist.

Answer 2

Answer:

Step-by-step explanation:

Let the numbers be 12x and 12y, where x and y are co-primes.

Product of the numbers = 144xy

144xy =6336

xy=44

44 can be written as the product of two factors in three ways, i.e., 1×44 , 2×22 , 4×11

As x and y are relatively prime, (x,y) can be (1,44) or (4,11) but not (2,22).

Hence two possible pairs exist.