Question 1208747
<pre>
There are multiple ways to interpret the wording of this problem.  Ikleyn
picked a way that did have a solution in positive integers, the first way
below.  However, the others are also valid ways to interpret the problem,
although some of the others likely do not have positive integer solutions.
Algebra problem-creators should be more careful to avoid ambiguous sentences.

1. Find two consecutive positive integers such that 
(the square of the first) increased by (2 times the second) is equal to 37. 

2. Find two consecutive positive integers such that 
[(the square of the first) increased by 2] times the second is equal to 37.

3. Find two consecutive positive integers such that 
[the square of (the first increased by 2)] times the second is equal to 37.

4. Find two consecutive positive integers such that
the square of [(the first increased by 2) times the second] is equal to 37.

5. Find two consecutive positive integers such that 
the square of [the first increased by (2 times the second)] is equal to 37.

6. Find two consecutive positive integers such that 
[the square of (the first increased by 2) times the second] is equal to 37.

Edwin</pre>