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HCF and LCM of two numbers are 15 and 180 respectively if there in the ratio 3:4, find the number​

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5 votes

Answer:


45,60

Explanation:


\mathrm{Let\ the\ two\ numbers\ be\ 3x\ and\ 4x.}\\\mathrm{Then,}\\\mathrm{Product\ of\ two\ numbers=their\ H.C.F* \their\ L.C.M}\\\mathrm{3x(4x)=15(180)}\\\mathrm{or,\ 12x^2=2700}\\\mathrm{or,\ x^2=225}\\\mathrm{or,\ x=15}\\\mathrm{First\ number=3x=3(15)=45}\\\mathrm{Second\ number=4x=4(15)=60}\\\mathrm{Hence\ the\ two\ numbers\ are\ 45\ and\ 60.}

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