# 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

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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