OwensQ656211 OwensQ656211
  • 03-11-2022
  • Mathematics
contestada

the sum of three consecutive integers is 147. use a tape diagram or equation to solve the three numbers. show your work

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EmileeK326270 EmileeK326270
  • 03-11-2022

Let three be (x - 1), x and (x + 1).

The sum of three consecutive number is x, means that

[tex]\begin{gathered} x-1+x+x+1=147 \\ 3x=147 \\ x=\frac{147}{3} \\ =49 \end{gathered}[/tex]

The value of x is 49.

Determine the two numbers.

[tex]\begin{gathered} x-1=49-1 \\ =48 \end{gathered}[/tex][tex]\begin{gathered} x+1=49+1 \\ =50 \end{gathered}[/tex]

So three consecutive numbers are 48, 49 and 50.

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