Question

Assertion (A)

The HCF of two number is 9 and their LCM is 2016. If one of the numbers is 54, then the other

is 306.

Reason (R)

For any positive integers a and b, we have LCM X HCF as a x b​

Answer 1

Answer:

If one of the number is 54 then the other number is 230. 336.

Step-by-step explanation:

Answer 2

Answer:

here in the case both assertion and reason is correct

Step-by-step explanation:

as per the given question, we have given lcm and hcf of 2 numbers where lcm is 2016 and hcf is 9 and one of the number is 54

we will check that if the assertion satisfies the reason.

as per the reason,

hcf x lcm= a x b

and if the statement is satisfied the question is clealy solved,

let a= one of the 2 numbers that is 306 as per the question

a=54

and the other number is b that we need to find.

here lcm is given as 2016

and hcf is given as 9.

we will substitute these in the statement of reason,

$2016 * 9= 54 *b\\b= \frac{2016*9}{54}\\ b=306$

hence the second number comes out to be 306

and the assertion and reason both are satisfied.

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