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Question
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be ----
22
23
24
26
ANSWER : 4
Descrption
<pre>"মুরগি ও গরুর মোট সংখ্যা 48টি [কারণ গরু ও মুরগির মাথা 48টি]। এখন, মুরগির পা ২টি করে ও গরু পা ৪টি করে। ধরি, মুরগির সংখ্যা x টি। তাহলে গরুর সংখ্যা (48 – x) টি প্রশ্নমতে, 2x + (48 – 8) 4 = 140 বা, 2x + 48 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo> × </mo></math> 4 – 4x = 140 বা, x + 96 – 2x = 70 বা, 96 – x = 70 বা, 96 – 70 = x <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> x = 26 অর্থাৎ মুরগি 26টি।" </pre>
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