When m liters of fuel was added to a tank… | Answer

Subject

পেট্রোবাংলা

Topic

বাংলাদেশ তেল, গ্যাস ও খনিজসম্পদ কর্পোরেশন (সহকারী ব্যবস্থাপক -প্রশাসন) ((IBA), DU.) - ২২.১১.২০২৪

When m liters of fuel was added to a tank that was already 1/3 full, it was filled to 7/9 of its capacity. In terms of m, what is the capacity of the tank, in liters?
Reading

ক)

10m/9

খ)

4m/3

গ)

3m/2

ঘ)

9m/4

ঙ)

None

Explanation

ধরি ট্যাংকের ধারণক্ষমতা = x লিটার প্রথমে ট্যাংক 1/3 ভরা ছিল অর্থাৎ প্রথমে = (1/3)x লিটার ছিল m লিটার যোগ করার পর ট্যাংক 7/9 ভরা হল অর্থাৎ শেষে = (7/9)x লিটার হল এখন, (1/3)x + m = (7/9)x ⇒ m = (7/9)x - (1/3)x ⇒ m = (7/9 - 1/3)x ⇒ m = (21/27 - 9/27)x ⇒ m = (12/27)x ⇒ m = (4/9)x ⇒ x = (9/4)m সুতরাং ট্যাংকের ধারণক্ষমতা = (9/4)m লিটার

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When m liters of fuel was added to a tank that was already 1/3 full, it was filled to 7/9 of its capacity. In terms of m, what is the capacity of the tank, in liters?Reading

When m liters of fuel was added to a tank that was already 1/3 full, it was filled to 7/9 of its capacity. In terms of m, what is the capacity of the tank, in liters?

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When m liters of fuel was added to a tank that was already 1/3 full, it was filled to 7/9 of its capacity. In terms of m, what is the capacity of the tank, in liters?
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