SOLUTION: Jame is seven years older than Amy. Twelve years ago, Amy was half as old as Jane is now. How old is Jane now? Show steps please! Thanks!

Question 1152205: Jame is seven years older than Amy. Twelve years ago, Amy was half as old as Jane is now. How old is Jane now?
Show steps please! Thanks!
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let j = Jane's present age
let a = Amy's present age
:
Write an equation for each statement
:
Jane is seven years older than Amy.
j = a + 7
or
a = j - 7
:
Twelve years ago, Amy was half as old as Jane is now.
a - 12 = (j)
get rid of the fraction, mult by 2
2(a-12) = j
2a - 24 = j
replace a with (j-7) from the 1st equation
2(j-7) - 24 = j
2j - 14 - 24 = j
2j - j = 38
j = 38 yrs old is Jane now
:
:
Check this:
a = 38 - 7
a = 31
"Twelve years ago, Amy was half as old as Jane is now."
31 - 12 = (38)
19 = 19

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Jame is seven years older than Amy. Twelve years ago, Amy was half as old as Jane is now. How old is Jane now?
Show steps please! Thanks!

Let Jane's age be J
Then Amy's is J - 7
We then get:
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