SOLUTION: tHE father said to his son 'if im in your age now your only 3 years old. If you are in my age now, im already 78 years old. how old is the son now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: tHE father said to his son 'if im in your age now your only 3 years old. If you are in my age now, im already 78 years old. how old is the son now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 264795: tHE father said to his son 'if im in your age now your only 3 years old. If you are in my age now, im already 78 years old. how old is the son now?
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
dads age now=x
sons age now=y
x>y
------
these are the 3 equations you must find from the problem
we are looking to find what "n" is so we can find out the ages
y=3%2Bn Same "n" years between "y" and 3 ("n" didnt start at 0, it started at 3, so you have to add 3 to "n" to get "y")
x=78-n Same "n" years between 78 and "x"
n=x-y "n" = the number of years between x and y
-----
Use substitution method
n=x-y
n=%2878-n%29-%283%2Bn%29
n=78-n-3-n
n=75-2n
-75=-3n
75=3n
%2875%2F3%29=n
25=n
-----
plug the value of "n" into the"x" and "y" equations from above
78-n=x
78-25=x
53=x Dads age now
.
3%2Bn=y
3%2B25=y
28=y Sons age now
.
checking answers:
n=x-y
n=53-28
n=25