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Question

The LCM of the two numbers is 9 times their HCF. The sum of LCM and HCF is 500. Find their HCF.

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Solution

Let the HCF of two numbers be x.

Then, LCM =9x

​​According to the question,​​ we have

LCM + HCF=500 [Given]

9x+x=500

10x=500

x=50
Hence, the HCF of the two numbers is 50.


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