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