SOLUTION: This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks' age and three times Jen's age is 66. How old is Jen?

Question 320178: This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks' age and three times Jen's age is 66. How old is Jen?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Write an equation for each statement:
Ja = Jack's present age
Je = Jen's present age
:
"This year, your brother Jack will be 2 years from being twice as old as your sister Jen.
Ja + 2 = 2(Je + 2)
Ja + 2 = 2Je + 4
Ja = 2Je + 4 - 2
Ja = 2Je + 2
:
"The sum of Jacks' age and three times Jen's age is 66."
Ja + 3Je = 66
:
Replace Ja with (2Je+2); find Je
(2Je + 2) + 3Je = 66
5Je = 66 - 4
Je =
Je = 12.8 yrs is Jen's present age
then
Ja = 2(Je + 2)
Ja = 2(12.8) + 2
Ja = 25.6 + 2
Ja = 27.6 yrs is Ja's present age
:
:
Check solution in the statement:
" Jack will be 2 years from being twice as old as your sister Jen."
27.6 + 2 = 2(12.8 + 2)
29.6 = 2(14.8)
29.6 = 29.6
:
Check solution in the statement:
"The sum of Jacks' age and three times Jen's age is 66. "
27.6 + 3(12.8) = 66
27.6 + 38.4 = 66; confirms our solutions

How old is Jen? 12.8
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