The product of two whole numbers is 360 and their sum is less than 100. What are the two possiblities for the two numbers. 

Expert Answers

An illustration of the letter 'A' in a speech bubbles

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

...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

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.

Approved by eNotes Editorial Team