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What number goes in the gray square?

 

 Aug 24, 2020
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A+B=8

X-Y=6

A+X=13

B+Y=8

 

2A+2B+2X=35

Which means A+B+X=17.5

 

A+B=8 so A+B+X= 17.5 8+C=17.5

 

X=17.5-8=9.5

 

We also know that

A+X=13

so A=13–9.5=3.5

 

A+B=8 B=8–3.5=4.5

B+Y=8 Y=8–4.5=3.5

 

So A=3.5 B=4.5 X=9.5 Y=3.5

 Aug 24, 2020

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