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4.If the sum of four consecutive odd numbers is 56, find the four numbers.​

Answer» <html><body><p><strong>Given :</strong></p><ul><li>the <a href="https://interviewquestions.tuteehub.com/tag/sum-1234400" style="font-weight:bold;" target="_blank" title="Click to know more about SUM">SUM</a> of four consecutive odd numbers is 56</li></ul><p><strong>To <a href="https://interviewquestions.tuteehub.com/tag/find-11616" style="font-weight:bold;" target="_blank" title="Click to know more about FIND">FIND</a> :</strong></p><ul><li>the four numbers</li></ul><p><strong>Solution :</strong></p><p>⇒ Let the consecutive odd numbers be :</p><ul><li>2x + 1</li><li>2x + 3</li><li>2x + 5</li><li>2x + 7 </li></ul><p>⇒ Now, let's find.</p><p>= (2x + 1) + (2x + 3) + (2x + 5) + (2x + 7) = 56</p><p>= 2x + 1 + 2x + 3 + 2x + 5 + 2x + 7 = 56</p><p>= (2x + 2x + 2x + 2x) + (1 + 3 + 5 + 7) = 56</p><p>= (<a href="https://interviewquestions.tuteehub.com/tag/8x-340330" style="font-weight:bold;" target="_blank" title="Click to know more about 8X">8X</a>) + (16) = 56</p><p>= 8x + 16 = 56</p><p>= 8x = 56 - 16 </p><p>= 8x = 40</p><p>= x = 40/8</p><p>= x = 5 </p><p></p><p>⇒ Let's find the numbers.</p><p>→ 2x + 1 </p><p>= <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> × 5 + 1 </p><p>= 10 + 1 = 11 </p><p></p><p>→ 2x + 3 </p><p>= 2 × 5 + 3</p><p>= 10 + 3 = 13 </p><p></p><p>→ 2x + 5</p><p>= 2 × 5 + 5</p><p>= 10 + 5 = 15 </p><p></p><p>→ 2x + 7</p><p>= 2 × 5 + 7</p><p>= 10 + 7 = <a href="https://interviewquestions.tuteehub.com/tag/17-278001" style="font-weight:bold;" target="_blank" title="Click to know more about 17">17</a></p><ul><li>Therefore, the four numbers are <strong><u>11, 13, 15, and 17</u></strong>.</li></ul></body></html>


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