SOLUTION: Write the algebraic expression using one variable for the following statement. Solve the equation and give all three answers. The sum of the third and twice the first of thre

Question 120622: Write the algebraic expression using one variable for the following statement. Solve the equation and give all three answers.

The sum of the third and twice the first of three consecutive odd integers is 49. Find all three consecutive odd integers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the third and twice the first of three consecutive odd integers is 49. Find all three consecutive odd integers.
:
Let the odd consecutive integers be: x, (x+2), (x+4)
:
Write an equation for the statement:
"sum of the third and twice the first of three consecutive odd integers is 49."
(x+4) + 2x = 49
3x + 4 = 49
3x = 49 - 4
3x = 45
x =
x = 15 is the 1st odd integer, then 17, then 19
:
:
Check solution in the statement:
"sum of the third and twice the first of three consecutive odd integers is 49."
19 + 2(15) = 49
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