SOLUTION: Twice Betty’s age increased by three times Lorena’s age equals 65. Five times Betty’s age decreased by twice Lorena’s age equals 20.
What is Lorena’s age?
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Question 1107223: Twice Betty’s age increased by three times Lorena’s age equals 65. Five times Betty’s age decreased by twice Lorena’s age equals 20.
What is Lorena’s age?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Twice Betty’s age increased by three times Lorena’s age equals 65.
2b + 3L = 65
Five times Betty’s age decreased by twice Lorena’s age equals 20.
5b - 2L = 20
5b = 2L + 20
divide both sides by 5
b = .4L + 4
What is Lorena’s age?
In the 1st equation, replace b with (.4L+4)
2(.4L+4) + 3L = 65
.8L + 8 + 3L = 65
.8L + 3L = 65 - 8
3.8L = 57
L = 57/3.8
L = 15 yrs is Lorena's age
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