If the sum of LCM and HCF of two numbers is 50 and their LCM is 20 more than their HCF. Then the product of the two numbers will be:

# If the sum of LCM and HCF of two numbers is 50 and their LCM is 20 more than their HCF. Then the product of the two numbers will be:

1. A
525
2. B
425
3. C
625
4. D
325

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### Solution:

Concept- LCM: least common multiple of two integers is called LCM.
HCF: The highest common factor of two integers is called HCF.
Given, the sum of LCM and HCF of two numbers is 50,

Their LCM exceeds their HCF by 20.

Put the value of x in equation (1),

Add y's value to the equation (2),
$x=y+20$

LCM= 35
HCF= 15
Product of two numbers,
$15×35=525$
Hence, the correct option is 1.

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