Q. The average of six consecutive even numbers is 29. Find the largest of these numbers.
Answer: 34
Notes: Let the numbers be x, x+2, x+4, x+6, x+8, x+10. Accoring to the question : $latex \frac{x+\left ( x+2 \right )+\left ( x+4 \right )+\left ( x+6 \right )+\left ( x+8 \right )+\left ( x+10 \right )}{6}=29&s=1$ $latex => 6x + 30 = 174$ $latex => 6x = 174 - 30 = 144$ $latex => x=\frac{144}{6}=24&s=1$ Now because the largest number is x+10 = 24+10 = 34 Hence option [C] is the right answer.