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প্রশ্নে বলা হচ্ছে, X সপ্তাহের জন্য একটি পরিবারের নিকট 480kg চাল রয়েছে। তারা যদি ঐ চাল আরো  4 সপ্তাহ চালাতে চায়, তবে তাদের সাপ্তাহিক চালের ভোগের পরিমাণ 4kg কমাতে হবে। X এর মান কত?

Here, X is the number of weeks.

The amount of rice is 480kg.

∴ If they need to run 4 more weeks, they need to imply following equation.

480x - 480x+4 = 4  ⇒ 480 1x - 1x+4 = 4 ⇒ 1x - 1x+4 = 4480 = 1120 ⇒ x+4-xxx+4 = 1120 ⇒ 4x2 + 4x = 1120 ⇒ x2+4x = 480 ⇒ x2+4x-480 = 0 ⇒ x2+24x-20x-480 = 0 ⇒x(x+24)-20(x +24) = 0 ⇒(x+24) (x-20) = 0 Here, x-20=0 ∴ x = 20 But, x=-24 is not acceptable. ∴ The value of x is 20.

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