Question

the reciprocal of hcf and lcm of two numbers are 1/12 and 1/144 respectively. if one of the number is 36 find other number​

Answer 1

GIVEN

• HCF = 12
• LCM = 144
• One number = 36

Let the other number be x

Product of two numbers = HCF × LCM

⟹ x × 36 = 12 × 144

⟹ x = (12×144)/36

⟹ x = 48

✨ Hence, the other number is x = 48

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Answer 2

Given:

Reciprocal of HCF=1/12

Reciprocal of LCM=1/144

One number=36

To find:

The other number

Solution:

The required term is 48.

We have that the HCF and LCM's product is equal to the numbers' product.

So, numbers' HCF×number's LCM=One number×other number.

Let the required value be X.

The numbers' LCM=144

The numbers' HCF=12

Using values,

144×12=36×X

12×12×12/36=X

12×12/3=X

12×4=X

48=X

Therefore, the required term is 48.