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The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the…

The correct choice is: 30 Let HCF \(=h\); LCM \(=15h\). Then \(16h=160\Rightarrow h=10\), LCM \(=150\). Product of the numbers = HCF × LCM: other number…

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The LCM of two numbers is 15 times their HCF. If the sum of their LCM and HCF is 160 and one of the numbers is 50, then what is the other number ?

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Correct answer C

The correct choice is: 30

Let HCF =h=h; LCM =15h=15h. Then 16h=160⇒h=1016h=160\Rightarrow h=10, LCM =150=150.

Product of the numbers = HCF × LCM: other number =10×15050=30=\frac{10\times150}{50}=30.

Hence the answer is 30.

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  • NCHM Joint Entrance Examination (NCHM JEE)

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