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The sum of five consecutive is number 1000 . find the numbers?​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p>The <a href="https://interviewquestions.tuteehub.com/tag/numbers-22758" style="font-weight:bold;" target="_blank" title="Click to know more about NUMBERS">NUMBERS</a> are: 198, 199, 200, 201 and 202</p><p></p><p><a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</p><p>If we let the smallest of the five consecutive integers be </p><p><a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a></p><p> ,</p><p></p><p>then the other 4 consecutive integers, by definition of "consecutive" would be:</p><p></p><p>x</p><p>+</p><p>1</p><p> , </p><p>x</p><p>+</p><p>2</p><p> , </p><p>x</p><p>+</p><p>3</p><p> and </p><p>x</p><p>+</p><p>4</p><p> </p><p></p><p>These five integers equal 1,000 so we can write:</p><p></p><p>x</p><p>+</p><p>x</p><p>+</p><p>1</p><p>+</p><p>x</p><p>+</p><p>2</p><p>+</p><p>x</p><p>+</p><p>3</p><p>+</p><p>x</p><p>+</p><p>4</p><p>=</p><p>1000</p><p> </p><p></p><p>We can now solve for </p><p>x</p><p> :</p><p></p><p>5</p><p>x</p><p>+</p><p>10</p><p>=</p><p>1000</p><p> </p><p></p><p>5</p><p>x</p><p>+</p><p>10</p><p>−</p><p>10</p><p>=</p><p>1000</p><p>−</p><p>10</p><p> </p><p></p><p>5</p><p>x</p><p>+</p><p>0</p><p>=</p><p>990</p><p> </p><p></p><p>5</p><p>x</p><p>=</p><p>990</p><p> </p><p></p><p>5</p><p>x</p><p>5</p><p>=</p><p>990</p><p>5</p><p> </p><p></p><p>5</p><p>x</p><p>5</p><p>=</p><p>198</p><p> </p><p></p><p>x</p><p>=</p><p>198</p><p> </p><p></p><p>Then:</p><p></p><p>x</p><p>+</p><p>1</p><p>=</p><p>199</p><p> </p><p></p><p>x</p><p>+</p><p>2</p><p>=</p><p>200</p><p> </p><p></p><p>x</p><p>+</p><p>3</p><p>=</p><p>201</p><p> </p><p></p><p>x</p><p>+</p><p>4</p><p>=</p><p>202</p><p><strong>Step-by-step explanation:</strong></p><p>hope this will help you and please give me a like and mark as <a href="https://interviewquestions.tuteehub.com/tag/brainliest-1995348" style="font-weight:bold;" target="_blank" title="Click to know more about BRAINLIEST">BRAINLIEST</a> answer </p></body></html>


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