Math, asked by dennislara0818, 1 month ago

Place the digits 8, 10, 11, 12, and 13 in the circles to make the sums across and vertically equal 31.

Answers

Answered by thebrajmishra
1

Answer:

11

10 8 13

12

Step-by-step explanation:

Put 11, 8, 12. vertical to get sum 31

and 10, 8, 13. across to get sum 31

Thank You

Answered by amitnrw
1

Given :  Place the digits 8, 10, 11, 12, and 13 in the circles to make the sums across and vertically equal 31.

To Find : arrangement /placement of numbers

Solution:

8 + 10 + 11 + 12 + 13 = 54

Vertical sum = Horizontal sum = 31

Vertical sum + horizontal sum = 31 + 31 = 62

62 = 54 + 8

Hence 8 should be in the middle center as it is counted twice

once vertically , and once horizontally

31 - 8 = 23

10 + 13 = 23

11 + 12 = 23

       10

11      8      12

       13

   

       13

11      8      12

       10

       13

12     8      11

       10

       10

12      8     11

       13

Similarly 4 more arrangements

when  11 and 12 are vertically and  10 and 13 horizontally

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