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Question

Sum of LCM and HCF of two number are 50 and their LCM is 20 more than the HCF, the product of two numbers will be :

A
425
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B
525
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C
325
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D
925
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Solution

The correct option is B 525
As per question
LCM+HCF=50 (1)

and LCM-HCF=20 (2)

On solving eqs.(1) and (2)
we get, LCM=35
and HCF=15

therefore,
Product of two numbers=LCM×HCF
=35×15
=525

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