May 2025
Problem of the Month

Consecutive Integer Problem
Submitted by K. Sengupta from Calcutta, India

If the smallest of x consecutive integers is M, what is the largest integer?

Solution to the Problem:

Here is the solution:

The largest integer would be M + x - 1.

Try some examples to find a pattern:

If the consecutive integers are
6, 7, 8, 9, 10, 11, 12

Then M = 6 (the smallest of these integers)
and x = 7 (the number of integers)
The largest integer would be 12,
which is 6+7-1.

Correctly solved by:

1. Dr. Hari Kishan	D.N. College, Meerut, Uttar Pradesh, India
2. Colin (Yowie) Bowey	Beechworth, Victoria, Australia
3. Davit Banana	Istanbul, Turkey
4. Brijesh Dave	Mumbai City, Maharashtra, India
5. Kamal Lohia	Holy Angel School, Hisar, Haryana, India
6. Ivy Joseph	Pune, Maharashtra, India
7. Gayathri U	Palakkad, Kerala, India
8. Kelly Stubblefield	Mobile, Alabama, USA

Send any comments or questions to: David Pleacher