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r + s = 120
r x s = 135
r = 120 - s
r = 135/s
120 - s = 135/s
0 = s - 120 + 135/s
0 = s2 -120s + 135
using the quadratic equation
a=1
b= -120
c= 135
{-b + sqrt(b2 - 4ac)}/2a and {-b - sqrt(b2 - 4ac)}/2a
{120 + sqrt(14,400 - 4 x 1 x 135)}/2 x 1
and
{120 - sqrt(14,400 - 4 x 1 x 135)}/2 x 1
118.864
and
1.13575
LCM for 135 and 120 is 1080.
270
135 multiplied by 32 is 4,320.
135 multiplied by 12 is 1,620
120 multiplied by 120 is 14,400.