Math (alg 2)

posted by .

The ratio of two numbers is 3 to 2 and the difference of their squares is 20. Find the numbers.

  • Math (alg 2) -

    two numbers: x and y

    x/y = 3/2 or y = 2x/3

    x^2 - y^2 = 20

    x^2 - 4x^2/9 = 20
    9x^2 - 4x^2 = 180
    5x^2 = 180
    x^2 = 36
    x = ±6

    if x = 6, then y = 4
    if x = -6 then y = -4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math (alg 2)

    The ratio of two numbers is 3 to 2 and the difference of their squares is 20. Find the numbers.
  2. MATH

    The sum of the squares of two numbers is 2. The product of the two numbers is 1. Find the numbers. xy=1 x^2+y^2=2 x^4+1=2x^2 x^4-2x^2+1=0 I don't think you can factor that unless its (x^2+1)(x^2-1) but I don't know where to go from …
  3. Math

    A Quadratic Word Problem. The difference between two positive numbers is 3. The sum of the squares of the numbers is 89. Find the numbers.
  4. math

    The differnce of two numbers is 2 the difference of their squares is 20 find the numbers
  5. Math (PLEASE HELP!)

    1. The sum of the squares of two numbers is 74 and the difference of their squares is 24. a) What system of equations models this situation?
  6. math

    What is the formula and the answer of; Two numbers are in the ratio of 4:7 if the difference between the two number is 48 find the sum of two numbers.
  7. Math

    Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.
  8. Math

    The ratio of two numbers is 7:9. The difference between the two numbers is 10. Find their sum
  9. 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 …
  10. Math

    the sum of two numbers is 30. the difference of their squares is 180. find the two numbers by elimination method

More Similar Questions