glevault2 glevault2

26-09-2017
Mathematics

contestada

The sum of three consecutive integers is 72. What are the integers?

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markroman1117 markroman1117

26-09-2017

23 24 25 sum up to 72

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liemonder liemonder

26-09-2017

I: x+y+z=72
II: y=x+1
III: z=x+2

-> substitute y and z in I with the definitions II and III:
x+(x+1)+(x+2)=72
3x+3=72
3x=69
x=23

-> insert x into II and III
y=x+1=23+1=24
z=x+2=23+2=25

-> x+y+z=23+24+25=72

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