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Linda is twice as old as Vera. Elizabeth is four less than four times the age of Linda. Their total age is two more than nine times the age of Vera. How old is Elizabeth? 

 Jan 19, 2021
 #1
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+1

L = 2v

e = 4L -4   = 8v-4

v

summed =    9v + 2

 

2v    + 8v-4     + v   = 9v+2

11v  - 4 = 9v+2

2v = 6

v = 3

 

L = 2v = 6

e = 8v-4 = 20

 Jan 19, 2021
 #2
avatar+116126 
+1

L =  2V     

4L - 4 = E  ⇒  4L = E + 4

4L =  8V  = E + 4   ⇒  E  = 8V - 4

 

So

L  +  E  +  V   = 9V  + 2

2V  + (8V  - 4)  + V  =  9V + 2

11V - 4  = 9V + 2

11V  - 9V  =  2 + 4

2V  = 6

V = 3

L = 2V =  6

E = 8V - 4  =  20

 

Thanks to the guest for pointing out my earlier (stupid) error  !!!

 

cool cool cool

 Jan 19, 2021
edited by CPhill  Jan 19, 2021
edited by CPhill  Jan 19, 2021
edited by CPhill  Jan 19, 2021
 #3
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0

Hmmmmm.... Hey Chris.... what about:

"Their total age is two more than nine times the age of Vera"

Guest Jan 19, 2021
 #4
avatar+116126 
0

OOPS....awful  error   !!!!!.....corrected   !!!!

 

 

cool cool cool

CPhill  Jan 19, 2021
edited by CPhill  Jan 19, 2021

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