matj

posted by .

The difference of two numbers is 12. Two fifths of the greater number is six more than one-third of the lesser number. Find both numbers.

  • matj -

    x - y = 12,
    2x/5 = y/3 + 6,
    Multiply both sides by 15, the common denominator:
    6x = 5y + 90,
    6x - 5y = 90,

    Multiply both sides of 1st Eq by -6 and add the 2 Eqs:
    x - y = 12
    6x - 5y = 90

    -6x + 6y = -72
    6x - 5y = 90

    y = 18,
    Substitute 18 for y in the 1st Eq:
    x - 18 = 12,
    x = 30.

    Solution set: x = 30, and y = 18.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    The difference of two numbers is 9. The sum of 3 times the greater number and 4 more than the lesser number is 51. What are the two numbers?
  2. math

    The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers. The second of three numbers is 1 less than the first. The third number is 5 less than the second. …
  3. Algebra 1 Honors

    When two numbers are added together, the result is 45. Twice the greater number is six more than five times the lesser number. What are the numbers?
  4. Algebra 1- Please Help !!!!!!!!:D

    When two numbers are added together, the result is 45.Twice the greater number is six more than five times the lesser number. What are the numbers.
  5. Math

    Find two numbers with a sum of -8 and a difference of 4. Let x be the greater number and y be the lesser number?
  6. Grade 8 Math

    Can you write them in Mathematical/numbers form I'll solve them myself. i don't really get it though i have written the first one in mathematical for but i'm not sure if that's right. 1. When six is subtracted from five times a certain …
  7. Algebra

    Find two numbers with a sum of -8 and a difference of 4. Let x be the greater number and y be the lesser number. Thanks you
  8. Algebra

    The sum of two numbers is 6. The result when the greater number is decreased by twice the lesser is 9. Let x be the greater number and y be the lesser number. Find the numbers. Thank you
  9. Maths

    Two numbers have a difference of 2.38 They both add to six One number is 3 times bigger than the other what could the two numbers be ?
  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