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Product = LCM x HCF = 2250. Factors of 2250 which total 55?

A = 55 - B, AB = 2250 ie B(55 - B) = 2250 ie 55B - B2 = 2250 or B2 - 55B + 2250 = 0;

This seems to involve imaginary numbers, has there been a typo?

If the total were 95, the numbers would be 45 & 50...

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Q: The greatest common factor of two numbers is 5 the least common multiple is 450 the numbers add up to 55 what are the two numbers?
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