The reciprocal of hcf and lcm of two numbers are 1/12 and 1/312
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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.
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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