math

posted by .

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

  • math -

    let x = larger number
    let y = smaller number
    then we set up the equations. since their difference is 25,
    x - y = 25 : equation (1)
    since the smaller is 1/6 of the larger,
    y = (1/6)x : equation (2)
    we substitute equation (2) to equation (1):
    x - (1/6)x = 25
    (5/6)x = 25
    x = 25*6/5
    x = 30
    y = 5

    hope this helps~ :)

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

    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 …
  3. 10th grade

    The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?
  4. 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?
  5. Math

    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?
  6. algebra

    The difference between two numbers is 18. If the sum of three times the smaller number and half the larger number is 2, find the smaller number.
  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 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. math

    The difference of two numbers is 321. The larger number is 190 more than twice the smaller number. Which system of equations presents this information?

More Similar Questions