The ratio of marbles owned by X and Y is 8:3. If X gives 8 marbles to Y, the ratio becomes 6:5. How many marbles does X have?
A. 28
B. 32
C. 40
D. 48
Explanation: মনে করি, X ও Y এর কাছে marble আছে যথাক্রমে \(8x\) ও \(3x\) টি। প্রশ্নমতে, \((8x-8)/(3x+8)=6/5 \Rightarrow 5(8x-8)=6(3x+8) \Rightarrow 40x-40=18x+48 \Rightarrow 22x=88 \Rightarrow x=4\). Therefore, X has \((8\times4)\) or 32 marbles.
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