Question

The reciprocal of hcf and lcm of two number are 1/12 and 1/512 respectively.If one of the number is 24. Find the other

Answer 1

hcf=12

lcm=512

one number=24

product of two numbers=product of their hcf and lcm

24×x=512×12

x=$\frac{(512)(12)}{24}$

x=256

so the other number is 256

Answer 2

Answer:

The other number is 256.

Step-by-step explanation:

This can be derived by following the given formula:

HCF*LCM = a*b , where a and b are the two numbers

The HCF and LCM of the two numbers can be found from their reciprocals and they are- 12 and 512 respectively.

Let a= 24 ( as given in the question) and b be the other number.

Hence, 24*b = 12 *512

so, b = 256

Therefore, the other number is 256.