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Previous Year Question (PYQs)

Birds on trees $A$ and $B$ say: if $2$ from $B$ move to $A$, numbers are equal; if $2$ from $A$ move to $B$, then $B$ becomes double of $A$. Find numbers on $A,B$.




Solution

Let $A=x,\ B=y$. $x+2=y-2\Rightarrow y=x+4$. $y+2=2(x-2)\Rightarrow y=2x-6$. Solving: $x=10,\ y=14$.

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