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A says to B, “If you give me one marble then I will have twice as many as you will have.”

B says to A, “If you give me one marble then I will have as many as you will have.”

The total number of marbles in possession of A and B is

(A) 10

(B) 11

(C) 12

(D) 13

Correct answer is option C .

Lets say A has x no of marble and B has y no of marble.

now A says,

If you give me one marble then I will have twice as many as you will have, which means

$x+1=2(y-1)$

or, $x-2y=-3$                      ….....(1)

Now B says,

If you give me one marble then I will have as many as you will have , which means

$x-1=y+1$

or,$x-y=2$                    …………(2)

(2)-(1)

y=5,

so , x=7

so x+y=12.