We want two numbers `p,q in ZZ` (whole numbers) whose product is 360 and whose sum is less than 100.

You can use trial and error to list the possible factors:

1,360 sum>100

2,180 sum>100

3,120 sum>100

4,90 works

5,72 works

6,60 works

8,45 works

9,40 works

10,36 works

...

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We want two numbers `p,q in ZZ` (whole numbers) whose product is 360 and whose sum is less than 100.

You can use trial and error to list the possible factors:

1,360 sum>100

2,180 sum>100

3,120 sum>100

4,90 works

5,72 works

6,60 works

8,45 works

9,40 works

10,36 works

12,30 works

15,24 works

18,20 works

If you allow negative numbers then all of the above pairs ,negated, will work.