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Find In ratio and proportion, if a/b=2/3, then find (2a-3b)/(a-2b)

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Your problem `->` In ratio and proportion, if a/b=2/3, then find (2a-3b)/(a-2b)


`a/b=2/3`

`:.a/2=b/3`

Let `a/2=b/3=k` (say)

`:. a/2=k,b/3=k`

`:.a=2k,b=3k`

Now `(2a-3b)/(a-2b)`

`=(4k-9k)/(2k-6k)`

`=(-5k)/(-4k)`

Cancel the common factor `-k`

`=(5)/(4)`






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