1. The sum of two numbers is 45 and their product is 500. Their HCF is
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By: anil on 05 May 2019 01.41 am
Let the number be $$x$$ and $$(45 - x)$$ => Product = $$x (45 - x) = 500$$ => $$x^2 - 45x + 500 = 0$$ => $$(x - 25) (x - 20) = 0$$ => $$x = 25 , 20$$ Other number = $$20 , 25$$ Thus, the two numbers are = 20 and 25 $$ herefore$$ H.C.F. of 20 and 25 = 5
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