SOLUTION: I know a priest who is 44 years old. Sometime ago, he was twice as old as I. In the following year he was one and a half times older than I. How old am I now?

Question 697072: I know a priest who is 44 years old. Sometime ago, he was twice as old as I. In the following year he was one and a half times older than I.
How old am I now?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I know a priest who is 44 years old.
Sometime ago, he was twice as old as I.
In the following year he was one and a half times older than I.
How old am I now?
:
We can approach this with this relationship:
let p = priest's age some time ago
let a = your age some time ago
Find the age in which p is twice a, and one year later p is 1.5a
:
2a = p
and one year later
1.5(a+1) = p + 1
1.5a + 1.5 = p + 1
1.5a = p + 1 - 1.5
1.5a = p - .5
replace p with 2a
1.5a = 2a - .5
1.5a - 2a = -.5
-.5a = -.5
a = 1 year old some time ago
and
p = 2 yrs old some time ago
then one year later:
a = 2, then p = 3, we know that 1.5(2) = 3
there is only one year difference, therefore when the priest is 44 you are 43

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = my age now
Let = the number of years ago he was
twice my age
(1) years ago
(2)
---------------
This is 2 equations and 2 unknowns,
so it's solvable.
(1)
(1)
and
(2)
(2)
(2)
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
--------------
I am 43 now
check answer:
The priest is 44
42 years ago he was twice my age
He was 2 yr old and I was 1 yr old
The next year he was 3 and
I was 2
OK
RELATED QUESTIONS
When steve was asked how old he was,he replied: 'In 30 years I'll be twice as old as I... (answered by Fombitz)
In six years time I will be one and a quarter times as old as i was four years ago, How... (answered by lwsshak3)
How do I solve the following: When Sally asked Johnny how old he was, he replied that... (answered by rothauserc)
Michael is one and a half times as old as his brother. Six years ago, he was twice as old (answered by josgarithmetic)
In 15 years, A would be twice as old as he was 10 years ago. How old is he... (answered by ikleyn)
Eleven years ago Lynn was four times as old as her brother. In one year she will be... (answered by Paul)
greg is one and a half as old as nina's age. Four years ago, he was twelve years older... (answered by Boreal)
five years ago, i was one and a half times as old as my sister. today, my sister is 17... (answered by josgarithmetic,greenestamps)
ten years ago, a person was half as old as he is now. How old is he... (answered by Mathtut)