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If j, k, and l are positive with jk = 24, jl = 48, and kl = 18, find j + k + l.

 Apr 4, 2018
 #1
avatar+130329 
+2

If j, k, and l are positive with jk = 24, jl = 48, and kl = 18, find j + k + l.

 

jk  = 24 ⇒  24/j  = k

jl = 48  ⇒  48/j  = l

kl = 18   

 

So

 

kl  = 18

(24/j) (48/j)  = 18

1152 / j^2  = 18

j^2  = 1152/18

j^2  = 64   take the positive root

j =  8

 

So.....24 / j = k   ⇒    24 / 8  = k ......  3  = k

And  48 / j  = l ⇒   48 / 8  = l    ......  6  = l

 

So

 

j + k + l    = 8 + 3  +  6  =   17

 

 

 

cool cool cool

 Apr 4, 2018
 #2
avatar+26397 
+1

If j, k, and l are positive with jk = 24, jl = 48, and kl = 18,

find j + k + l.

 

1.

jkjlkl=(jkl)2=244818=20736jkl=20736jkl=144

 

 

2.

j+k+l=jkjljkl+jkkljkl+jlkljkl=jkjl+jkkl+jlkljkl=2448+2418+4818144j+k+l=17

 

 

laugh

 Apr 5, 2018

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