SOLUTION: His father say "when i was your age, you were 2 years old. His son replies" when I reach your age, you will be 68? What is his father present age ?

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Question 1022139: His father say "when i was your age, you were 2 years old.
His son replies" when I reach your age, you will be 68?
What is his father present age ?
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let =son's present age
Let = father's present age
---------------------------
The difference in their ages is always
the same:
------------------
His son replies" when I reach your age, you will be 68
When the son's age = , then the father's age
will be . Since the differnce in their ages
stays the same:

(1)
--------------------
His father says "when i was your age, you were 2 years old.
The father's age was , and the son was
The difference in their ages stays the same:

(2)
------------------
Multiply both sides of (2) by and
add the equations
(1)
(2)
-------------------

and
(2)
(2)
(2)
(2)
The father's present age is 46
--------------------------
check:

His father says "when i was your age, you were 2 years old.
When the father was 24, the son was
OK
-----------
His son replies" when I reach your age, you will be 68?
When the son is 46, the father will be
OK

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
let f = father's present age
let s = son's age
let x = their age difference (f-s)
:
His father say "when i was your age, you were 2 years old.
s = x + 2
His son replies" when I reach your age, you will be 68?
s + x = 68 - x
s = 68 - x - x
s = 68 - 2x
s-s therefore
x + 2 = 68 - 2x
x + 2x = 68 - 2
3x = 66
x = 66/3
x = 22 yrs is the difference in their ages
:
Find s
s + 22 + 2
s = 24
:
"What is his father present age ?
f = 24 + 22
f = 46 yrs is the father's age