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# Number game 1

## Question

1 2 3 4 5 6 7 8 9

Arrange these numbers into two separate groups so that they add up to same total.

Note : you cant turn 9 upside down and make it 6

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(sum=27)

12 6 9 | 3 4 5 7 8

12 4 5 6 | 3 7 8 9

3 4 5 6 9 | 12 7 8

...

(sum=36)

31 5 | 2 4 6 7 8 9

...

(sum=45)

31 5 9 | 24 6 7 8

...

A better question would be "How many different pairs of groups (with the same sum) can be formed?"

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1 2 3 4 5 6 7 8 9

Arrange these numbers into two separate groups so that they add up to same total.

Note : you cant turn 9 upside down and make it 6

You have to turn the 9 into a six.

Numbers 1-9 total 45, which can't be evenly split.

Making the 9 a 6 reduces that total by 3 to 42.

So we need two groups that each total 21.

1 2 3 4 5 6 and 6 7 8 should do it.

Or turn the 6 into 9, increasing the total by 3 to 48.

1 2 3 4 5 9 and 7 8 9 do it for that case.

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i think that there is something wrong with the question....we can see that the total from 1 to 10 is 45 how can you divide 45 into two equal parts.....is there some cheating involved??i have got this -

18365 / 9274 they add up to 23 and 22...let me see what else i can do
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1 2 3 4 5 6 7 8 9

Arrange these numbers into two separate groups so that they add up to same total.

Note : you cant turn 9 upside down and make it 6

You have to turn the 9 into a six.

Numbers 1-9 total 45, which can't be evenly split.

Making the 9 a 6 reduces that total by 3 to 42.

So we need two groups that each total 21.

1 2 3 4 5 6 and 6 7 8 should do it.

Or turn the 6 into 9, increasing the total by 3 to 48.

1 2 3 4 5 9 and 7 8 9 do it for that case.

this is what even i think how can you split 45 into two equal parts...P.S- he noted that we cant use 9 as 6...

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1 2 3 4 5 6 7 8 9

Arrange these numbers into two separate groups so that they add up to same total.

Note : you cant turn 9 upside down and make it 6

You have to turn the 9 into a six.

Numbers 1-9 total 45, which can't be evenly split.

Making the 9 a 6 reduces that total by 3 to 42.

So we need two groups that each total 21.

1 2 3 4 5 6 and 6 7 8 should do it.

Or turn the 6 into 9, increasing the total by 3 to 48.

1 2 3 4 5 9 and 7 8 9 do it for that case.

this is what even i think how can you split 45 into two equal parts...P.S- he noted that we cant use 9 as 6...

Ah, I misread that. Good catch.

He did not say that you could not turn the 6 into a 9.

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Group-one: 83,7,4,5

Group-two: 91,2,6
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Group 1: 18,9,3,6

Group 2: 27, 4,5
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1 2 3 4 5 6 7 8 9

Arrange these numbers into two separate groups so that they add up to same total.

Note : you cant turn 9 upside down and make it 6

You have to turn the 9 into a six.

Numbers 1-9 total 45, which can't be evenly split.

Making the 9 a 6 reduces that total by 3 to 42.

So we need two groups that each total 21.

1 2 3 4 5 6 and 6 7 8 should do it.

Or turn the 6 into 9, increasing the total by 3 to 48.

1 2 3 4 5 9 and 7 8 9 do it for that case.

There is one solution in which you don't have to turn 6 into 9 or 9 into 6

The one who will give me that answer will be marked as best answer

So common guys give it a try

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Group 1: 18,9,3,6

Group 2: 27, 4,5

Good can you find one more

to get marked as best answer because there is one more competitor.

Edited by Utkrisht123
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Group-one: 83,7,4,5

Group-two: 91,2,6

Good can you find one more

to get marked as best answer because there is one more competitor.

First one to give one more solution will be marked best answer

Edited by Utkrisht123

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