1. The LCM of two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the numbers is 100, then the other number is
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By: anil on 05 May 2019 02.25 am
Let one of the numbers = $$x$$ and other number = 100 Let L.C.M = $$L$$ and H.C.F = $$H$$ According to ques, => $$L=4H$$ --------------(i) and $$L+H=125$$ Substituting value from equation (i), we get : $$4H+H=5H=125$$ => $$H=frac{125}{5}=25$$ => $$L=4 imes25=100$$
Thus, product of numbers = $$L imes H$$ => $$100 imes x=100 imes25$$ => $$x=25$$ => Ans - (B)
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Thus, product of numbers = $$L imes H$$ => $$100 imes x=100 imes25$$ => $$x=25$$ => Ans - (B)