Hints and solutions to
Make a List #3
The product of two whole numbers is 96 and their sum is less than 30.
What are possibilities for the two numbers?
-
This is very similar to the yesterday's problem, except we have to be
careful
to keep the sum of the numbers less than 30 -- we'll list all
possibilities
for factorizations of 96, and note whether or not the sum is less than 30:
Factor 1Factor 2
Sum less than
30?
196No
248No
332No
424Yes
616Yes
812Yes
So there are three ways to write 96 as a product of factors whose sum is
less than 30.
The product of two whole numbers is 96 and their sum is less than 30.
What are possibilities for the two numbers?
-
This is very similar to the yesterday's problem, except we have to be
careful
to keep the sum of the numbers less than 30 -- we'll list all
possibilities
for factorizations of 96, and note whether or not the sum is less than 30:
Factor 1
Factor 2
Sum less than 30?
1
96
No
2
48
No
3
32
No
4
24
Yes
6
16
Yes
8
12
Yes
So there are three ways to write 96 as a product of factors whose sum is less than 30.