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Answers
Blue circle = 1
Grey circle = 8
Red circle = 5
Equation : abc + abc + abc = ccc
= 3abc = ccc
Let the Blue circle be = a
Let the grey circle be = b
Let the red circle be = c
- The Numbers a, b and c can be any number from 1 to 9.
Testing every number for c :
Let's consider c :
1. c = 1
= 3abc = 111
= abc = 111/3 = 37
> Not possible as we need a 3 digit quotient.
2. c = 2
= 3abc = 222
= abc = 222/3
= abc = 74
> Not possible as we need a 3 digit quotient.
3. c = 3
= 3abc = 333
= abc = 333/3 = 111
> Not possible as c isn't matching, and abc aren't the same.
4. c = 4
= 3abc = 444
= abc = 444/3
= abc = 148
> Not possible as c isn't matching.
5. c = 5
= 3abc = 555
= abc = 555/3 = 185
> Possible √√
6. c = 6
= 3abc = 666
= abc = 666/3 = 222
> Not possible as c isn't matching.
7. c = 7
= 3abc=777
= abc = 777/3
= abc = 259
> No, as c isn't matching.
8. c = 8
= 3abc = 888
= abc = 888/3 =296
> No as c isn't matching.
9. c = 9
= 3abc = 999
= abc = 999/3 = 333
> No as a, b, c aren't the same.
= Only one outcome was possible which is C = 5
Thus,
= a = blue circle = 1
= b = grey circle = 8
= c = red circle = 5
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= 185+185+185 should be 555.
= 185+185+185 = 555
= 555= 555
Thus, Verified!
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