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The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF…

Splitting 240 in the ratio 3 : 5 gives \(\frac{3}{8}\times240=90\) and \(\frac{5}{8}\times240=150\). Their HCF is 30, and LCM \(=\frac{90\times150}{30}=450\). The sum of LCM…

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The sum of two numbers is 240. If the numbers are in the ratio 3 : 5, then the sum of their LCM and HCF is :

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Splitting 240 in the ratio 3 : 5 gives 38×240=90\frac{3}{8}\times240=90 and 58×240=150\frac{5}{8}\times240=150. Their HCF is 30, and LCM =90×15030=450=\frac{90\times150}{30}=450. The sum of LCM and HCF is 450+30=480450+30=480; the figure 450 is the LCM alone, not the sum.

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