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MATH / The integers 2 through 9 are each placed in the figure with one integer in each…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The integers 2 through 9 are each placed in the figure with one integer in each of the eight smallest triangles. The integers are placed so that the pairs of integers in each of the four smallest squares have the same sum. What is that sum?

[asy]
size(101);
draw(unitsquare);
draw(shift(up)*shift(right)*unitsquare);
filldraw(shift(up)*unitsquare,gray(.6));
filldraw(shift(right)*unitsquare,gray(.6));
draw((0,0)--(2,2)^^(0,2)--(2,0));
[/asy]

level

Level 2

type

Algebra

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Source and history

Official source

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