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?

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) (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
RELATED QUESTIONS
In three years time, Mr. Sullivan will be three times as old is his daughter. Six years... (answered by ankor@dixie-net.com)

In 10 years time a father will be twice as old as his daughter.10 years ago he was six... (answered by ikleyn)

Two years ago,Aman was thrice as old as his daughter and six years later he will be four... (answered by josgarithmetic,MathTherapy,richwmiller)

Four years ago Bob was twice as old as his little sister. Five... (answered by Boreal,Alan3354)

six years ago, rosa was four times old as her daughter. Ten years from now, she will be... (answered by mananth)

A man is four times as old as his daughter. Six years ago he was ten times as old as his... (answered by Alan3354,josgarithmetic)

Two years ago a man was six times as old as his daughter. In 18 years he will be twice as (answered by ankor@dixie-net.com)

1. when gary and rowena were married, rowena was two years younger than gary. how old was (answered by Paul)

Three years ago, Joe's age was 1 year more than twice Karen's. Six years from now, his... (answered by stanbon)