SOLUTION: If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the​ numbe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the​ numbe      Log On


   

Question 1037853: If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the​ number?
I don't know how to set the question up. I really​ need help understanding the key words on how to set these up.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
n, the number.
%289%2B2n%293=4n%2B13%28twiceTheProduct%29

What product? The question is bad.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the​ number?
I don't know how to set the question up. I really​ need help understanding the key words on how to set these up.
Let number be N

9 + 2N ------- "If 9 is added to twice a number"

3(9 + 2N) ---- "and this sum is multiplied by 3"

= ------------ "the result is the same"

4N + 13 ------ "the number is multiplied by 4 and 13 is added to the product."



With "the result is" being "=", we get: 3(9 + 2N) = 4N + 13

Do you think you can now solve for N: the number? Hint: It should be - 7