Question

7.@Assertion: The HCF of two numbers is 9 and their LCM is 2016. Then the one number is 59 and other is 306.
Reason: Realation between numbers and their HCF and LCM is product of two numbers (a, b) = HCF (a, b) * LCM (a, b)​

Answer 1

Answer:

The H.C.F. of two number is 9, and their LCM is 2016. If one of the number is 54 then the other number is

336

Answer 2

This assertion and Reason both are true.

This assertion is true. The HCF (highest common factor) and LCM (least common multiple) of two numbers can be used to find the values of the two numbers. If the HCF of two numbers is known, and the LCM is known, the product of the two numbers can be determined by multiplying the HCF and LCM.

In this case, the HCF of the two numbers is 9 and the LCM is 2016. We can find the product of the two numbers by multiplying 9 and 2016:

$9 * 2016 = 18144$

To find the two numbers, we can find the prime factors of 18144 and divide it by 9.

$18144 = 2^4 * 3^2 * 7^1$

We can see that 18144 can be written as 59*306.

So, the two numbers are 59 and 306.

The reason given in the statement is also correct, It's a fundamental property that the product of two numbers is equal to their HCF multiplied by their LCM.

To know more about  HCF visit : https://brainly.in/question/25945206

https://brainly.in/question/20353612

#SPJ3