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

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) (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
RELATED QUESTIONS
twice the greater of two consecutive odd integers is 13 less than three times the lesser... (answered by ankor@dixie-net.com)

twice the greater of two consecutive odd integers is 13 less than three times the lesser... (answered by stanbon,Cintchr)

Twice the greater of two consecutive odd integers is 13 less than three times the lesser. (answered by ankor@dixie-net.com)

Twice the greater of two consecutive odd integers is 13 less than three times the lesser. (answered by stanbon)

what is twice the greater of two consecutive odd integers is 13 less than three times the (answered by checkley75)

Twice the greater of two consecutive odd intgers is 13 less than three times the lesser.... (answered by elima)

twice the greater of two consecutive odd integers is 13 less than three times the lesser. (answered by nerdybill,MathTherapy)

twice the greater of two consecutive odd integers is less than three times the lesser... (answered by ewatrrr)

Twice the greatest of two consecutive odd integers is 13 less than three times the lesser (answered by josmiceli)