Math(Algebra)

posted by .

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?

This one also: The differnce between two numbers is 18. The sum of twice the smaller number and three times the larger is 74. What are the numbers?

  • Math(Algebra) -

    just take each fact presented and express it symbolically.

    #1.
    m,n are the numbers
    m-n=16
    3m = 7n
    now solve:
    3m-3n=48
    7n-3n=48
    4n=48
    n=12
    so, m=28

    #2.
    m-n=18
    2n+3m=74
    2n + 3(n+18) = 74
    5n + 54 = 74
    5n=20
    n=4
    so, m=22

  • Math(Algebra) -

    Five times a whole number,x, is subtracted from 62. The result is less than 40. Find the three lowest values of x

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. MATH

    THE DIFFERENCE BETWEEN TWO NUMBERS IS 16. FIVE TIMES THE SMALLER IS THE SAME AS 8 LESS THAN THREE TIMES THE LARGER. FIND THE NUMBERS?
  3. 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 …
  4. Math

    The difference between two numbers is 45. Three times the larger number less five times the smaller number equals 75. What are the two numbers?
  5. Algebra

    The difference between two numbers is 86. Seven times the smaller is equal to 4 more than the larger. What are the numbers?
  6. Algebra

    The sum of two numbers is fourteen. Using x to represent the larger of the two numbers, translate "the difference between five more than the larger number and three times the smaller number" into a variable expression. Then simplify.
  7. math

    The difference between two numbers is 33. If three times, the larger number is subtracted from six times the smaller number, the difference is 18. Find the smaller number.
  8. Math

    The difference between two numbers is 33. If three times the larger number is subtracted from six times the smaller number the difference is 18. Find the smaller number. 6n-3(n+33)=18 <--- equation answer: n= 39 <--- the smaller …
  9. math

    The difference between two numbers is 15 . Three times the larger number is eight times the smaller. Find the two numbers.
  10. Math

    Write the equation and solve the following problems 1. Seven more then three times a number is 22. What is the number?

More Similar Questions