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Answer :
Final answer:
The difference between the two numbers is 98.
Explanation:
To find the difference between the two numbers, we need to determine the actual values of the numbers. Since the L.C.M. of the two numbers is 495 and their H.C.F. is 5, we can express the numbers as 5x and 495x, where x is a common factor of the two numbers.
Given that the sum of the two numbers is 100, we can create the equation 5x + 495x = 100 and solve for x.
By simplifying the equation, we get 500x = 100. Dividing both sides by 500, we find that x = 1/5.
So, the two numbers are 5(1/5) = 1 and 495(1/5) = 99. The difference between these two numbers is 99 - 1 = 98.
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