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