Two tanks A and B are filled with petrol. If 100 liters of petrol were taken out from each tank, tank A would then contain 3 times as much petrol as tank B. What is the total amount of petrol in the two full tanks? 1) Tank B holds 600 liters less petrol than tank A. 2) Tank A holds 2.5 times more petrol than tank B.
DUIBAসাধারণ গণিতবীজগণিতীয় রাশিবর্গ ও ঘন সংক্রান্ত সূত্রাবলী (Topic Practice)DU - ⚡ অনলাইন প্রশ্নব্যাংক দেখুন 💥
Explanation: Let A and B be the initial amounts. The condition is \(A-100 = 3(B-100)\). We need to find \(A+B\). Statement 1: \(B = A - 600\). Substitute into the condition: \(A-100 = 3((A-600)-100) \Rightarrow A-100 = 3A - 2100 \Rightarrow 2A = 2000 \Rightarrow A=1000\). \(B = 1000 - 600 = 400\). \(A+B=1400\). (Sufficient) Statement 2: \(A = 2.5B\). Substitute into the condition: \(2.5B-100 = 3(B-100) \Rightarrow 2.5B-100 = 3B - 300 \Rightarrow 0.5B = 200 \Rightarrow B=400\). \(A = 2.5 \times 400 = 1000\). \(A+B=1400\). (Sufficient). Therefore, EACH statement ALONE is sufficient.