Title
Mystery Number
Problem Statement
Investigations  Algebra  Functions & Equation Additional Investigations  Mystery
Number
What is the mystery number? If
I subtract 1 / 2 of it, then multiply by 3, and then add 2, the end result
is 26.
Problem setup
What is the original number if
I half it, subtract that half, multiply the result by three, add two to
that result and end up with 26?
Plans to
Solve/Investigate the Problem
I decided to use the Guess and Check strategy
to solve this problem.
Investigation/Exploration
of the Problem
I began guessing with the number 30, but
the final result was 47. Then I tried 10 and that result was 17. When I
tried to use 20, the result was 32. I guessed at 16 and voilathat was
the answer! 16 divided by 2 is 8 times 3 is 24 plus 2 equals 26.
Extensions of the Problem
Extension: Write your
own mystery number problem to have a classmate or friend solve. Make sure
that your number goes through three transformations (addition, subtraction,
multiplication or division).
What is the original number if
I multiply it by 2, subtract 50, then add 8 and get 50?
Author & Contact
Pam Joseph
Insert Email
