The average of a set of 15 consecutive even numbers is 64. What is the difference between the largest and the smallest numbers belonging to this set?
Answer & explanation
Correct answer: option 4
Sum of 15 consecutive odd number = 15 × 64 = 960
Let smallest odd number = a
a + ( a + 2) + ( a + 4) + ( a + 6) + ( a + 8) + ( a + 10) + ( a + 12) + ( a + 14) + ( a + 16) + ( a + 18) + ( a + 20) + ( a + 22) + ( a + 24) + ( a + 26) + ( a + 28) = 960
Difference in largest and smallest number = (a+28) - a = 28