Destine2789 Destine2789
  • 15-02-2018
  • Mathematics
contestada

Three consecutive integers have the sum of 153. what is the first integer?

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Americ
Americ Americ
  • 16-02-2018
Consecutive integers mean one right after the other. Since it does not say consecutive even or odd integers, you can assume they are numbers like 1,2,3... 4,5,6... These are numbers with a difference of one.

x= first integer
x+1= second integer
x+2= third integer

Add the three integers

x + (x+1) + (x+2)= 153
combine like terms
3x+3= 153
subtract 3 from both sides
3x= 150
divide both sides by 3
x= 50

Substitute answer to find other integers:
x= 50 first integer
x+1= 50+1= 51 second integer
x+2= 50+2= 52 third integer

Hope this helps! :)
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