Question

The HCF of two numbers is 8.
The product of the two numbers
is 1536. How many pairs of such
numbers satisfy the above
conditions?
(
Select one:
a. 1
b. 3
с. 2
d. 4​

Answer 1

Answer:

1

Step-by-step explanation:

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Answer 2

Answer:

b

Step-by-step explanation:

Let the numbers be 8x;8y, where x,y

are co-prime to each other.

Then

8x×

8y=

1536

=

>

xy=

24

Now, we need to find co-prime numbers whose product is

24

24=

2 3

3

Therefore co-prime pairs will be (1,24);(8,3)

Therefore, only two pairs of such numbers satisfy the given condition.