SOLUTION: Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted. Also that, in three years time, he would be three times as old as Paul would be, an
Algebra ->
Customizable Word Problem Solvers
-> Age
-> SOLUTION: Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted. Also that, in three years time, he would be three times as old as Paul would be, an
Log On
Question 622976: Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted. Also that, in three years time, he would be three times as old as Paul would be, and that in 6 years time he would be twice as old as Al would be. Al was two years older than Ted.
How old is their father?
You can put this solution on YOUR website! Write an equation for each statement:
:
Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted.
f + 3t
:
Also that, in three years time, he would be three times as old as Paul would be,
f + 3 = 3(p+3)
f + 3 = 3p + 9
f = 3p + 9 - 3
f = 3p + 6
:
and that in 6 years time he would be twice as old as Al would be.
f + 6 = 2(a+6)
f + 6 = 2a + 12
f = 2a + 12 - 6
f = 2a + 6
:
Al was two years older than Ted.
a = t + 2
In the equation f = 2a + 6 replace f with 3t
3t = 2a + 6
Replace a with (t+2),find t
3t = 2(t+2) + 6
3t = 2t + 4 + 6
3t - 2t = 10
t = 10 yrs is Teds present age
then
3(10) = 30 yrs is father's age, which all they wish to know
:
