Magic Pentagon

Algebra Level 2

The sum of the numbers on each side of the pentagon is the same. What is X X ?

15 9 10 13 14 11 8 12

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1 solution

Arul Kolla
May 22, 2018

We note that A + 7 + 3 = A + 1 + B A + 7 + 3 = A + 1 + B , thus B = 9 B = 9 . We note that B + 6 + C = X + 2 + C B + 6 + C = X + 2 + C , but B = 9 B = 9 . Thus, X = 13 \boxed{X = 13} .

Problem Credit : Math Kangaroo

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