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Q.
The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ?
A.
63 and 49
B.
64 and 48
C.
62 and 46
D.
64 and 49
View Answer
Correct choice: A
Explanation:
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
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