## POW #5 Letter decoding

Saige Fogarty POW #5 11/7/18

POW #5

Process and Solutions-

Problem 1- ABB-A= DD

Solution 1- A=1, B=0, D= 9

For this process, there is only one solution that can be correct for this situation. For instance there is only one 3 digit number minus a 1 digit number that equals a 2 digit number.

Ex. 100- 1= 99

Problem 2- SS+EE= SST

Solution 2- S= 1, E= 9, T= 0

If there is a 2 digit number plus a another 2 digit number that has to equal a 3 digit number, that mean then the S has to start with 1 because you can’t have 2 digit numbers that are higher than 100. So S has to be 1 so therefore it will be somewhere in the 100s.

Ex. 11+ 99=110

Problem 3- AB+BC=ADE

Solution 3- A=1, B=8, C=5, D=0, E=3

To be able to figure out this one you need to have a one of those numbers be 18 of higher or it won’t work. For example if you took 18+81= 99 it wouldn’t work so you need 18 and one other number that will get you to a 3 digit number that is all different.

Ex. 18+85=103

Problem 4- Boo+Fun=Fest

Solution 4- F=1, B=8 or 9, O=3, U=5, N=4, E=0, S=8, T=7

For this one it was really challenging but once I understood what each of the letters i knew were it was a lot easier to do. So what I figured out for this problem is that F is always 1 because you wouldn’t be able to get one 3 digit number and the other 3 digit number be able to add up to a thousand number. So right away I knew that B had to either be an 8 or 9 and F had to be a 1.

Ex. 933+154=1,087

Problem 5- Math- ham= ETM

Solution 5- M=1, A=2, T=3, H=4, E=8

To be able to figure out this one we each had to create our own problem. Once I knew that almost all of my numbers are the same I know what to do right away. This one was challenging for me in the beginning but after I worked through a lot of my own I was able to create this one.

Ex. 1,234+154=831

Self- Evaluation- This POW was so much fun for me to do and now that I know that there is an extra credit one I will be doing it. I really enjoyed doing this POW even though it took me 2 days to complete but once I got the hang of it I knew what to do. If I were to keep doing POW’s I feel like I would want one that I understood like this or the Knights around the table. I think I did pretty well on this POW and can’t wait to do more.

POW #5

Process and Solutions-

Problem 1- ABB-A= DD

Solution 1- A=1, B=0, D= 9

For this process, there is only one solution that can be correct for this situation. For instance there is only one 3 digit number minus a 1 digit number that equals a 2 digit number.

Ex. 100- 1= 99

Problem 2- SS+EE= SST

Solution 2- S= 1, E= 9, T= 0

If there is a 2 digit number plus a another 2 digit number that has to equal a 3 digit number, that mean then the S has to start with 1 because you can’t have 2 digit numbers that are higher than 100. So S has to be 1 so therefore it will be somewhere in the 100s.

Ex. 11+ 99=110

Problem 3- AB+BC=ADE

Solution 3- A=1, B=8, C=5, D=0, E=3

To be able to figure out this one you need to have a one of those numbers be 18 of higher or it won’t work. For example if you took 18+81= 99 it wouldn’t work so you need 18 and one other number that will get you to a 3 digit number that is all different.

Ex. 18+85=103

Problem 4- Boo+Fun=Fest

Solution 4- F=1, B=8 or 9, O=3, U=5, N=4, E=0, S=8, T=7

For this one it was really challenging but once I understood what each of the letters i knew were it was a lot easier to do. So what I figured out for this problem is that F is always 1 because you wouldn’t be able to get one 3 digit number and the other 3 digit number be able to add up to a thousand number. So right away I knew that B had to either be an 8 or 9 and F had to be a 1.

Ex. 933+154=1,087

Problem 5- Math- ham= ETM

Solution 5- M=1, A=2, T=3, H=4, E=8

To be able to figure out this one we each had to create our own problem. Once I knew that almost all of my numbers are the same I know what to do right away. This one was challenging for me in the beginning but after I worked through a lot of my own I was able to create this one.

Ex. 1,234+154=831

Self- Evaluation- This POW was so much fun for me to do and now that I know that there is an extra credit one I will be doing it. I really enjoyed doing this POW even though it took me 2 days to complete but once I got the hang of it I knew what to do. If I were to keep doing POW’s I feel like I would want one that I understood like this or the Knights around the table. I think I did pretty well on this POW and can’t wait to do more.