i have a riddle : there are 2 armies , one army says to other that if u lend me 10 soldiers then we will become twice of ur soldiers and other army says to the first one that if u lend ur ten soldiers to us then we will become thrice of ur soldiers then find the numbers of soldiers of both armies ?
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Answer:
let 1 army be x
2 army be y
A.T.Q
2x=y+10
=>y-2x+10=0------(Eq1)
3y=x+10
=>-3y+x+10=0------(Eq2)
multiple eq 1 by 3
=>3y-6x+20=0
+(-3y)+x+10=0
-5x=-30x=6
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