Skip to main content
← Back to archive

Problem #3 · July 30, 2026

Natural numbers

The sum of five consecutive natural numbers is 245245. Find the largest of these numbers.
  1. A4747
  2. B4949
  3. C5050
  4. D5151
  5. E5353

WORKED EXAMPLE

Solution

The sum of five consecutive numbers is 55 times the middle number, so the middle number is 245:5=49245 : 5 = 49. The numbers are 47,48,49,50,5147, 48, 49, 50, 51, and the largest is 49+2=5149 + 2 = 51. Check: 47+48+49+50+51=24547 + 48 + 49 + 50 + 51 = 245.
Solve today's problem