Question

The reciprocal of h.c.f and lcm of two number are 1/12 and 1/512 respectively. if one of the number is 24. find the other number

Answer 1

The other number is 256

Answer 2

Answer:

The other number is 256.

Step-by-step explanation:

Given : The reciprocal of h.c.f and lcm of two number are 1/12 and 1/512 respectively. if one of the number is 24.

To find : The other number?

Solution :

First number = 24

Reciprocal of the hcf = 1/12

HCF = 12

Reciprocal of the LCM = 1/512

LCM = 512

Let the other number be x

We know,

$\text{Product of two number} =\text{HCF}\times \text{LCM}$

$24x=12\times 512$

$x=\frac{12\times 512}{24}$

$x=256$

Therefore, The other number is 256.