Multiple Choice Questions

The difference of two numbers is 14 Their LCM and HCF are 441 and 7 Find the two numbers 63 ........

Mental Ability (N tehsildar) LCM, HCF

The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?63

63 and 49

64 and 48

62 and 48

64 and 49

Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y

Difference = 14
=> 7x - 7y = 14
=> x - y = 2

product of numbers = product of their hcf and lcm
=> 7x * 7y = 441 * 7
=> x * y = 63

Now, we have
x * y = 63 , x - y = 2
=> x = 9 , y = 7

The numbers are 7x and 7y
=> 63 and 49

Hence, option 1 is the correct answer.

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