Meeks2017 Meeks2017
  • 22-10-2019
  • Mathematics
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What is the locker number for two consecutive numbered gym lockers have a sum of 145

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TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 22-10-2019

Answer:

72 and 73

Step-by-step explanation:

let the first locker number be "y"

Hence, the next locker number [consecutive] would be "y+1"

Since the SUM is 145, we can add up the two and write and equation. Then simply solve algebraically. Shown below:

[tex]y+y+1=145\\2y+1=145\\2y=145-1\\2y=144\\y=\frac{144}{2}\\y=72[/tex]

So, the 2 locker numbers are 72 and 73

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