# Nancy weighs 45.5kg. If she reduces her weight in the ratio 5:4, find her new weight?

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by chinmayimatt

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by chinmayimatt

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let new weight=x kg

given ratio =5:4

so,45.5:x::5:4

⇒45.5*4=5x

182=5x

x=182/5

Reduced present weight be x kg.

Ratio = 45.5 : x

But the given ratio = 5 : 4

45.5 : x = 5 : 4

5x = 4(45.5)

5x = 182

x = 36.4

Nancy's reduced weight = 36.4 kg