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# Word problems

12.
The second of three negative numbers is 6 less than the first negative number. The third negative number is 3 times the second number. Find the set of all possible third numbers given that twice the sum of the first two numbers is greater than the third number.

13. A woman can row 11 miles downstream in the same time it takes her to row 7 miles upstream. She rows downstream for 3 hours, then turns and rows back for 4 hours, but finds she is still 5 miles from where she started the trip. How fast does the stream flow?

#### Solution Preview

12. Suppose the three negative numbers are x,y,z, from the first to the third.
Let's check the conditions.
(1) The second of three negative numbers is 6 less than the first negative number.
y=x-6
(2) The third negative number is 3 times the second number.
z=3y
(3) Twice the sum of the first two numbers is greater ...

#### Solution Summary

There are two word problems here, one regarding a set of negative numbers, and one regarding the speed of a stream.

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