Question 35

The ratio of two numbers is 5:6. The product of the HCF and LCM of the two numbers is 120. What is the HCF of the two numbers?

Solution
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Let the two numbers be 5h and 6h where h is the HCF of the numbers. Product of the numbers = Product of LCM and HCF.
=> $$30 h^2$$ = 120 => h = 2
So, the HCF of the two numbers is 2

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