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The sum of three distinct number is 100.  The larger two numbers differ by 10. The smaller two numbers differ by 2.  What is the largest of the three numbers?

 May 17, 2020
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x+y+z=100

z=y+10

y=x+2-->z=x+12

x+x+2+x+12=100

3x+14=100

3x=86

x=86/3

z=122/3

 May 18, 2020

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