The average of five numbers, where the difference between any two consecutive numbers is 5, is 215. Find the least number.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e 205.
Let the five numbers = x, x + 5, x + 10, x + 15, x + 20
Average = (x + (x + 5) + (x + 10) + (x + 15) + (x + 20)) ÷ 5 = (5x + 50) ÷ 5 = x + 10
Given average = 215 ⇒ x + 10 = 215 ⇒ x = 205
Least number = 205