Question

The reciprocal of h.C.F and lcm of two number are 1/12 and 1/312 respectively. If one of the number is 24. Find the other number?

Answer 1

Answer:

Given :  

First number = 24

reciprocal of the hcf = 1/12

HCF = 12

reciprocal of the LCM = 1/312

LCM = 312

Let the other number be x

Product of first number ×  second number = HCF × LCM

24 × x =12 × 312

x = (12 × 312)/24

x = 312/2  

x = 156

Other number = 156

Hence, the other number = 156

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Answer 2

Answer:

Other Number = 156

Step-by-step explanation:

If the reciprocal of HCF = $\frac{1}{12}$

Then, HCF = 12

Similarly, LCM = 312

Let the other number be "x"

Now, we know that,

Product of two number = HCF × LCM

⇒ 24 × x = 12 × 312

⇒ x = 156