1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Word Problem

  1. May 30, 2006 #1
    The sum of two intergers is twenty. Five times the smaller interger is two more than twice the larger integer. Find the integers.

    I'm somehow lost on the problem

    I tried setting the problem up to solve for the smaller varrible. Making it x & the larger 20-x. Anyway, I came up with 5x + 2 = 40 - 2x, then 7x = 38... Somewhere I really got screwed up. I know the answers are 6 & 14 but I can't seem to figure out how to setup the problem.
  2. jcsd
  3. May 30, 2006 #2


    User Avatar
    Gold Member

    It says "Five times the smaller integer is two more than twice the larger integer"

    You wrote that as 5x+2=2(20-x), which is saying "five times the smaller integer plus two is equal to twice the larger integer"

    Do you see where you made your mistake now?
    Last edited: May 30, 2006
  4. May 31, 2006 #3


    User Avatar
    Science Advisor

    Note that if x= 8 y= 6, then x is "two more than" y but x+ 2= 10, not 6. You are "going the wrong way". Instead of 5x+ 2, what should you have?
  5. May 31, 2006 #4
    Yes, I got it now. It was late & I miss read the problem. It was 5x = 40-2x+2 which gave me 7x = 42 & the two integers are 6 & 14. Thanks. :approve:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook