Open Middle®
Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create the closest possible sum to 100.
Hint
Can you give me 3 numbers that add up to 100 (any number could be repeated)? How can we use this to fill in the boxes using each digit only once?
Answer
Multiple solutions
59+24+17
Source: Graham Fletcher
49 + 32 + 18 = 99
45+18+37
50 + 40 +10 2×40 80 + 20
Our answer was 29+18+53=100
thank you soooo much, you saved my life
I had a lot of fun with this challenge and passed it along to my family when I couldn’t figure it out! Looking for more of these challenges in the future!
23+56+18=100
If I can get my students with behaviors to do this at 3 or upper I will challenge them to do this during morning warmup.
23+56+18=97 not 100. It’s close though You might has meant 24+57+19=100
have not has
One of my classes came up with 42+38+19. It was great to see them put together the tens first, then they added all of the ones, and finally added the ones and tens for the final answer.
40+36+14
20+60+20=100
Atharv’s answer is: 32+48+19 = 99
44+44+12=100
i did 40+40=80
20+80=100
44+44=88
88+12=100.
by Dominic
—
Figuring out where to put the answer in here took forever. Still haven’t figured that out, so here it is in the comments. Were we supposed to just write it by hand in his notebook?
Dominic’s Mom. Julianna
i thought of 58 + 23 + 19 = 100
I thought of 40+40+20=100 and 60+20+20=100
54+21+19 = 100
57+19+24=100
57+19+24=100
its 35+65=100 because 5+5=10 and 30+60=90 and 90+10=100
30+30+40=100
49+31+20=100
49+31+20=100
29+18+53=100
59+28+13=100
25+25+50=100
39+40+21=100
19+28+53=100
40+40+20
57+11+32=100
80+10+10=100
19+23+58=100
41+39+20=100
Our answer was 21+39+40
my answer is 24 + 57 + 19 = 100
48+39+12=99
45+37+18=100
34+45+21+100
19+57+24=100
^^^ You can not use digit more than once while not using 0. Digits 1-9.
The hardest part was how do you fill in the answer. I guess you just do on your own and can only submit through comments.
I did 59+24+17=100
59+41=100
13+29+58=100 15+37+48=100 38+43+19=100
13+58+29=100
80+10+10=100
31+57+12=100
40+40+20=100
43+ 36 +21 = 100
22+78=100 because 20+70=90 and 2+8=10 and 90 +10=100
32+61+07
46+19+35=100
40+50+10=100
Boom!
36+24+40=100.
10+80+10
50+40+10=100
12+39+48=99
57+26+17=100
37+24+39=100
32+56+10=98
40+40+20=100
30+21+49=100
19+23+58=100
19+45+36
50+10+40=100
53+18+29=100
60 plus 30 plus 10=100
I added 20+20+50+10.
80+10+10=100
40+40+20
31+21+48=100
21+30+49
80+12+8=100
25+25+50=100
42+25+33=100
29+17+54=100
19+89+1=100
56+20+24=100
19+28+53=100!
58+25+17=100 could be an answer.
57 + 14 + 29 = 100!
90+3+7=100!
49+21+30=100
33+33+34=100
70+10+20=100
40+10+50=100
35+16+49=100
70+20+10=100
70+20+10=100
2020 over
100+00+00
87+13