Question

The reciprocal of hcf and lcm of two number are 1/12 and 1/312 respectivly if one of the number is 24 find the other

Answer 1

Answer:

Step-by-step explanation:

Hcf = 12 ( bcz 1/12. Is the reciprocal)

LCM = 312 ( same reason)

1st no. = 24

2nd no. be x

Hcf × LCM = product of 2 numbers

12 × 312 = 24 × x

X = 12 × 312 ÷ 24 = 156

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Answer 2

Step-by-step explanation:

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