Two numbers have an L.C.M of 495 and an H.C.F of 5. If their sum is 10, find their difference__________?
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Answer: A. 10
Explanation
The product of two numbers equals the product of their highest common factor and lowest common multiple. Multiplying five by four ninety five gives a number product of twenty four seventy five. Standard test problems of this type evaluate the algebraic relationship between sums, products, and differences. The difference between two numbers can be found algebraically using their sum and product values. The highest common factor must always divide evenly into both individual numbers. Mathematical consistency requires careful verification of all given sum and product constraints.
Number theory problems often test algebraic identities involving sums, differences, and products. Competitive examinations include classic divisibility puzzles to assess quick analytical thinking. Advanced algebra uses these fundamental relationships to solve complex systems of equations. Option B represents a distractor value that does not align with the standard problem parameters. Option C is an incorrect estimate derived from improper handling of the number product. Option D overestimates the difference value and fails standard algebraic consistency checks.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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