1.

3 numbers add up to 100 The difference between the 2 largest numbers is 12. The difference between the 2 smallest is 2. What are the numbers? Please answer this and get marked as the brainliest! Thank you1

Answer» <html><body><p>Let the <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> numbers be <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>,Y and Z. Arbitrarily let Z be the largest, Y be the next largest and X be the smallest.The equations are:X + Y + Z = 100.Z - Y = 12Y - X = 2So it <a href="https://interviewquestions.tuteehub.com/tag/follows-994526" style="font-weight:bold;" target="_blank" title="Click to know more about FOLLOWS">FOLLOWS</a> that:4, X = Y - 2Substituting in equation 1 the value for X using equation 4 we obtain:5. Y - 2 + Y + Z = 100.Simplifying we get:6. 2Y + Z = 102And we have from equation 2 (by rewriting it):7. -Y + Z = 12Now multiply equation 7 by 2 to obtain:<a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>. -2Y +2Z = 24Adding equations 6 and 8 we obtain:9. 3Z = 126So we have by dividing 126 by 3.10. Z = 42Replacing Z in equation 2 with its value we obtain:11. <a href="https://interviewquestions.tuteehub.com/tag/42-316129" style="font-weight:bold;" target="_blank" title="Click to know more about 42">42</a> - Y = 12So we now have:12. Y = 30.Replacing Y in equation 3 we obtain:13. 30 - X = 2So we get:14. X= 28.Checking our work:From equation 1:15. 28 + 30 + 42 = 100 (check!)From equation 2:16. 42 – 30 = 12 (check!)From equation 3:17. 30 - 28 = 2 ( check!)</p></body></html>


Discussion

No Comment Found

Related InterviewSolutions