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4) The sum of the digits of a two digit number is 9. If 27 is added to it, the digit of the number get reversed. What is the number? |
Answer» <html><body><p><strong>Answer:</strong></p><p><strong><em>3</em></strong><strong><em>6</em></strong><strong><em> </em></strong><strong><em>is </em></strong><strong><em>the </em></strong><strong><em>answer</em></strong><strong><em>. </em></strong></p><p><strong>Step-by-step explanation:</strong></p><p>Let the digit at unit's place be y and the digit at ten's place be x.</p><p>So, the number will be 10x+y</p><p><a href="https://interviewquestions.tuteehub.com/tag/according-366619" style="font-weight:bold;" target="_blank" title="Click to know more about ACCORDING">ACCORDING</a> to the first condition-</p><p>⇒x+y=9 ....(1)</p><p>According to the <a href="https://interviewquestions.tuteehub.com/tag/second-1197322" style="font-weight:bold;" target="_blank" title="Click to know more about SECOND">SECOND</a> condition-</p><p>⇒10y+x=10x+y+27⇒9y=9x+27</p><p>⇒y=x+3 ...(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)</p><p>Put the value of y in (2), we have</p><p>⇒x+x+3=9</p><p>⇒x=3</p><p>⇒x+y=9</p><p>⇒3+y=9</p><p>⇒y=6</p><p>∴ the number is 36.</p><p></p><p></p><p><strong><u>If </u></strong><strong><u>it </u></strong><strong><u>helps </u></strong><strong><u>you </u></strong></p><p><strong><em><u>Please </u></em></strong><strong><em><u><a href="https://interviewquestions.tuteehub.com/tag/mark-555248" style="font-weight:bold;" target="_blank" title="Click to know more about MARK">MARK</a> </u></em></strong><strong><em><u>as </u></em></strong><strong><em><u>brainliest</u></em></strong><strong><em><u>!</u></em></strong><strong><em><u>!</u></em></strong></p><p></p><p><strong><em><u>Mark </u></em></strong><strong><em><u>brainliest</u></em></strong><strong><em><u>! </u></em></strong><strong><em><u> </u></em></strong><strong><em><u>Please </u></em></strong><strong><em><u>Please</u></em></strong></p></body></html> | |