Title
Double Trouble
Problem Statement
What number can you add
to 129 and subtract from 129 such that the sum of the number and 129 is
twice the difference between 129 and the number?
Problem setup
This problem is asking for you
to come up with the number that will satisfy the requirements. The easiest way to do this is by
coming up with an equation.
Plans to
Solve/Investigate the Problem
My initial strategy was to
construct an equation based on the wording of the problem to come up with
the answer. I decided to name
the number x.
Investigation/Exploration
of the Problem
The equation that I came up
with was (x+129)=2(129x). This equation is solved as
follows:
(x+129)=2(129x).
x+129=2582x
129 129
x=1292x
+2x +2x
3x=129
x=43
43 is our answer because the
sum of 43 and 129 is twice the difference between 129 and the 43.
43+129 = 172 12943=86 86(2)=172
Author & Contact
My Email
Link(s) to resources, references, lesson plans, and/or other
materials
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