Question

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

Answer 1

its answer acc. to me is 156

Answer 2

SOLUTION :  

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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