SOLUTION: Six years ago, Joe Foster was two years more than five times as old as his daughter. Six years from now, he will be 11 years more than twice as old as she will be. How old is Joe?

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Question 1158062: Six years ago, Joe Foster was two years more than five times as old as his daughter. Six years from now,
he will be 11 years more than twice as old as she will be. How old is Joe?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let j = Joe's present age
let d = daughter's
:
Write an equation for each statement
:
Six years ago, Joe Foster was two years more than five times as old as his daughter.
j - 6 = 5(d-6) + 2
j - 6 = 5d - 30 + 2
j = 5d - 28 + 6
j = 5d - 22
Six years from now, he will be 11 years more than twice as old as she will be.
j + 6 = 2(d+6) + 11
j + 6 = 2d + 12 + 11
j = 2d + 23 - 6
j = 2d + 17
Replace j with (5d-22) from the 1st statement
5d - 22 = 2d + 17
5d - 2d = 17 + 22
3d = 39
d = 39/3
d = 13 yrs is the daughter's age
Find j
j = 5(13) - 22
j = 65 - 22
j = 43 is Joe's age
:
:
See if this checks out in the statement
"Six years ago, Joe Foster was two years more than five times as old as his daughter."
43 - 6 = 5(13 - 6) + 2
37 = 5(7) + 2