SOLUTION: will is twice as old as jill, three years ago, jill`s age was two fifths of will`s age then.how old is each now?

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Question 342792: will is twice as old as jill, three years ago, jill`s age was two fifths of will`s age then.how old is each now?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
j = Jill' present age
w = Will's present age
:
Write an equation for each statement:
:
"will is twice as old as jill,"
w = 2j
:
"three years ago, jill`s age was two fifths of will`s age then."
j - 3 = 2%2F5(w - 3)
We can use the decimal here
j - 3 = .4(w - 3)
:
j - 3 = .4w - 1.2
:
j = .4w - 1.2 + 3
:
j = .4w + 1.8
Replace w with (2J)
j = .4(2j) + 1.8
:
j = .8j + 1.8
:
j - .8j = 1.8
:
.2j = 1.8
j = 1.8%2F.2
j = 9 yrs is Jill's present age
then
w = 2(9)
w = 18 yrs is Will's present age
:
:
see if that is true in the statement:
"three years ago, jill`s age was two fifths of will`s age then."
9 - 3 = 2%2F5(18 - 3)
6 = 2%2F5(15)
6 = 6