Difference between revisions of "2017 JBMO Problems/Problem 1"

(Created page with "== Problem == == Solution == == See also == {{JBMO box|year=2017|before=First Problem|num-a=2|five=}}")
 
(Problem)
Line 1: Line 1:
 
== Problem ==
 
== Problem ==
 +
 +
Determine all the sets of six consecutive positive integers such that the product of some two of them, added to the product of some other two of them is equal to the product of the remaining two numbers.
  
 
== Solution ==
 
== Solution ==

Revision as of 15:34, 17 September 2017

Problem

Determine all the sets of six consecutive positive integers such that the product of some two of them, added to the product of some other two of them is equal to the product of the remaining two numbers.

Solution

See also

2017 JBMO (ProblemsResources)
Preceded by
First Problem
Followed by
Problem 2
1 2 3 4
All JBMO Problems and Solutions