Math (alg 2)
posted by Liz .
The ratio of two numbers is 3 to 2 and the difference of their squares is 20. Find the numbers.

a/b = 3/2 so a is bigger
a^2  b^2 = 20
well
b = 2a/3
so
a^2  4a^2/9 = 20
9 a^2  4 a^2 = 180
a^2 = 36
a = 6 or 6
try a = 6
then b = 4
36  16 = 20 sure enough
then also check a = 6
then b = 4
36  16 = 20 so that works too