SOLUTION: I have a word problem that I cannot seem to figure out. One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number. No

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: I have a word problem that I cannot seem to figure out. One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number. No      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 53271: I have a word problem that I cannot seem to figure out.
One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number.
No matter how I try to work out this problem it comes out wrong. Please Help!!!
Answer by ankor@dixie-net.com(12701) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 12 more than another. The sum of the smaller number and twice the larger is 39. Find the larger number.
:
Let x = "one number the (larger)"; let y = "another" number
:
Write a simple expression for each sentence:
:
"One number is 12 more than another"
x = 12 + y
:
"sum of the smaller number and twice the larger is 39"
y + 2x = 39
:
1st equation states that x = (12 + y), so substitute [y+12] for x in the 2nd eq
y + 2(y+12) = 39
y + 2y + 24 = 39
3y = 39 - 24
y = 15/3
y = 5
:
x = 12 + 5
x = 17
:
Check:
"sum of the smaller number and twice the larger is 39."
5 + 2(17) = 39