Asked by Erica
the sum of three consecutive numbers is eighteen. Write an expression describing the equation and solve the state of the three numbers
Answers
Answered by
Reiny
let the three numbers be
x-1, x, and x+1 , where x is the middle number
x-1 + x + x+1 = 18
3x=18
x=6
so the middle number is 6, and the three numbers are 5,6, and 7
btw,
You could define the numbers any way you want. I could say,
let the first number be (5x+7), then the next two are (5x+8) and (5x+9)
then 5x+7 + 5x+8 + 5x+9 = 18
15x + 24 = 18
15x = -6
x = -6/15 = -2/5
As long as I then use my definitions to find the numbers ....
then the numbers are 5x+7 = 5(-2/5) + 7 = 5
5x(-2/5) + 8 = 6
5x(-2/5) + 9 = 7
x-1, x, and x+1 , where x is the middle number
x-1 + x + x+1 = 18
3x=18
x=6
so the middle number is 6, and the three numbers are 5,6, and 7
btw,
You could define the numbers any way you want. I could say,
let the first number be (5x+7), then the next two are (5x+8) and (5x+9)
then 5x+7 + 5x+8 + 5x+9 = 18
15x + 24 = 18
15x = -6
x = -6/15 = -2/5
As long as I then use my definitions to find the numbers ....
then the numbers are 5x+7 = 5(-2/5) + 7 = 5
5x(-2/5) + 8 = 6
5x(-2/5) + 9 = 7
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