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