Question

5. The HCF and LCM of two
numbers is 24 and 120, if one of
the is 45. then the other
number is​

Answer 1

In the above Question , the following information is given -

There are two numbers whose HCF and LCM are 24 and 120 respectively.

Now , one of the numbers is 45 .

To find -

Find the other number.

Solution -

There are two numbers whose HCF and LCM are 24 and 120 respectively.

Now , one of the numbers is 45 .

Let us assume that the other number is x .

Now , we know that -

HCF × LCM = Product of Numbers .

=> 24 × 120 = 45 x

=> 2880 = 45 x

=> x = { 2880 / 45 }

=> x = 64.

Thus , the other number is 64 .

This is the required answer.

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Answer 2

Answer:

64

Step-by-step explanation:

The HCF and LCM of two numbers is 24 and 120, if one of the number is 45.

Assume that the other number is x.

Product of two numbers = LCM × HCF

Substitute the values,

→ 45 × x = 24 × 120

→ 45 × x = 2880

→ x = 2880/45

→ x = 64

Hence, the other number is 64.

Verification:

From above we can say that x or other number is 64.

Simply substitute the values and solve, if both are equal means answer is correct.

= 45 × 64 = 24 × 120

= 2880 = 2880

L.H.S. = R.H.S