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One says, "Give me a hundred , friend ! I shall be twice as rich as you ." The other replies , "If you give me ten , I shall be six times as rich as you ,". Tell me the amount of their (respective) capital

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Answer : 

Let person 1 be x and person 2 be y .

So by the first equation, 

\ Rightarrow (x+100)=2(y-100)

Because you subtracted 100 from y and it to x.

The second equation becomes ,

\ Rightarrow (y+10)=6(x-10)

Now, \ x=40  \ y=170

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Deependra Verma

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