If sum of LCM and HCF of two number is $50$ and their LCM is $20$ more than their HCF, then the product of two numbers will be :

525

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425

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625

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325

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Solution

The correct option is A $525$
$L C M + H C F = 50$

$L C M = H C F + 20$

$H C F + 20 + H C F = 50$

$2 H C F = 30$

$H C F = 15$

$∴$ $L C M = 35$

Product of two numbers $= 35 \times 15 = 525$

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