Math

posted by .

How do I set this up and how do I solve:

The sum of two numbers is 20 The difference between 3 times the larger number and twice the smaller number is 40. What is the larger number?

  • Math -

    let the larger be x
    let the smaller be 20-x

    Now just translate ...
    three times the larger ---> 3x
    twice the smaller ---> 2(20-x)

    that "difference" is 40
    3x - 2(20-x) = 40
    3x - 40 + 2x = 40
    5x = 80
    x = 16

    the larger is 16

    (the smaller is 4)

  • Math -

    Reiny, thank you so much. You broke it down so it was easy to understand.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Can someone please help me write this statement out in formula form. There should be two formulas. Question.... Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers. …
  2. algebra 1 help

    One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the two numbers. what am i suppose to do i am reading as this but i know i am wrong 34=(x+6)+y*3 n + 3(n+6)=34 n is the smaller. …
  3. Algebra

    One number is 6 more than another. If the sum of the smaller number and 3 times the larger number is 34, find the Two numbers. I have errored somewhere please assist 3x+x=6=34 4x+4x=2x=7 I need two find both numbers Your equation does …
  4. Reiny! Reiny! Reiny! Answer Check and HW Help!

    Translate to a system of equations and solve: 1) The sum of two numbers is 36. One number is 2 more than the other. Find the numbers. Answer: (17,19) 2) Find two numbers whose sum is 66 and whose difference is 18. Answer: (37,29) These …
  5. Math(Algebra)

    How would you set this problem up and work it: The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?
  6. algebra

    Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Three times a larger number added to 4 times a smaller number totals 24. …
  7. Algebra

    The difference of two numbers is 12. The sum of the larger number and 3 times the smaller number is 20. Find the larger number.
  8. Math

    The sum of two numbers is 15. Four times the smaller number is 60 less than twice the larger number. What is the larger number?
  9. Math

    The larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller number is increased by the larger number, the result is 18 more than the larger number.Find both numbers
  10. Algebra

    The larger of the two is 1 less than 3 times the smaller number . If twice the smaller number is increased by the larger number, the result is 18 more than the larger number. Find both numbers

More Similar Questions