math

posted by .

there are two numbers that are 3 times as far from 19 as they are from 11. the sum of the two numbers is?

  • math -

    A little thought should make it clear that since x is farther from 11 than from 19,

    1. x is between 11 and 19
    2. x > 19

    If 11<x<19,
    x-11 = 3(19-x)
    x-11 = 57-3x
    4x = 68
    x = 17

    If x > 19,
    x-11 = 3(x-19)
    x-11 = 3x-57
    2x = 46
    x = 23

    check:
    17 is 6 from 11 and 2 from 19
    23 is 12 from 11 and 4 from 19

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 word problems

    The sum of two numbers is 69. The second is 9 more than 4 times the first. What are the two numbers?
  3. math-word problems with quadratics

    I have 5 questions... 1) The sum of two numbers is 12. Their product is 36. Find the two numbers. 2) The sum of two numbers is -15. Their product is -100. Find the two numbers. 3) The sum of two numbers is -8. Their product is 12. …
  4. Math

    When factoring a trinomial that is in the format Ax^2 + Bx + C, the number that is represented by B should be viewed as the _____?
  5. 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 …
  6. math

    four times the larger number of two numbers is equal to seven times the smaller.the sum of the numbers is 22.find the numbers
  7. lsue

    the larger of two numbers is 11 more than three times the smaller. the sum of the two numbers is 59. fine the two numbers
  8. mathematics-Algebra

    I think of two whole numbers;the product of the average of the sum and difference of the numbers and the difference of the sum and difference of the numbers is 12.if three times the first added to the second makes up 11..find the two …
  9. Math

    The sum of two numbers is five. The sum of the squares of the two numbers is thirteen. Find the two numbers. (Enter your answers as a comma-separated list.)
  10. algebra

    The sum of the two numbers is 71. One of the numbers is 24 less than four times the other number. What are the two numbers I am thinking of?

More Similar Questions