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Question

The HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, find the other number.

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Solution

We know that
HCF×LCM=product of two numbers
Given that HCF=9 and LCM=360
One number=45 Let second no. be x
9×360=45×x
x=9×36045=9×8=72
Other number=72

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