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A number consists of two digits. The sum of the digits is 10. If 72 is subtracted from the number, it's digits are interchanged. Find the number.

A number consists of two digits. The sum of the digits is 10. If 72 is subtracted from the number, it's digits are interchanged. Find the number. Correct Answer 82

ধরি, একক স্থানীয় অংক = ক       দশক  স্থানীয় অংক = খসংখ্যাটি = ১০খ+কদেওয়া আছে , ক+খ = ১০   ………………..(১)             শর্তমতে,  ১০খ+ক-৭২ = ১০ক+খ                             ৯খ-৭২ = ৯ক                            খ-ক = ৮ ………………….(২)সমীকরণ(১) এবং সমীকরণ(২), যোগ বিয়োগ করে পাই, ক = ১, খ =৯ অতএব, সংখ্যাটি = ১০খ+ক = ১০*৯+১ = ৯১ (উত্তর) 

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