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?
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How old am I now?
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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
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
