# Math (alg 2)

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

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3. 👁 64
1. 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

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2. 👎 0
posted by Reiny

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