SOLUTION: twice the greater of two consecutive odd integers is 13 less than three times the lesser. find the number define a variable write equation solve can you show me how to do

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Question 55605This question is from textbook algebra 1
: twice the greater of two consecutive odd integers is 13 less than three times the lesser. find the number
define a variable
write equation
solve
can you show me how to do this problem please?
This question is from textbook algebra 1

Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller number,
so x + 2 will be greater number.
We need to devise an equation now.
Three times the smaller number will be 3x
This is 13 less than twice the greater 2(x+2)
so the equation will look like this:
3x - 13 = 2(x+2). Multiply out right hand side to get
3x-13 = 2x+4 Subtract 2x from both sides
3x-2x-13 = 4
x-13 = 4 Add 13 to both sides
x = 4+13
x=17 This is the smaller number
so greater number is x+2 =19
Answer is 17 and 19
Pete