SOLUTION: Two years ago, my age was 4 times that of my son. In 3 years, my is only 3 times that of my son. What is our age now? The question asks for only one variable. I only know how to do

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Two years ago, my age was 4 times that of my son. In 3 years, my is only 3 times that of my son. What is our age now? The question asks for only one variable. I only know how to do      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 876099: Two years ago, my age was 4 times that of my son. In 3 years, my is only 3 times that of my son. What is our age now? The question asks for only one variable. I only know how to do it with two.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You could say the son's age now = +s+
2 yrs ago, the son's age was +s+-+2+
The father's age 2 yrs ago was +4%2A%28+s+-+2+%29+
----------------------------------------
So, now, 2 yrs later, the father's age is +4%2A%28+s+-+2+%29+%2B+2+
---------------------------------------------------
In 3 yrs, the son will be +s+%2B+3+
In 3 yrs, the father will be +4%2A%28+s+-+2+%29+%2B+2+%2B+3+
--------------------------------------------
You are given that:
+4%2A%28+s+-+2+%29+%2B+2+%2B+3+=+3%2A%28+s+%2B+3+%29+
---------------------------------
Solve for +s+
+4s+-+8+%2B+5+=+3s+%2B+9+
+s+=+12+
and, the father's age now is:
+4%2A%28+s+-+2+%29+%2B+2+
+4%2A%28+12+-+2+%29+%2B+2+=+42+
--------------------------
The father is 42 and the son is 12
check:
2 yrs ago,
f = 40
s = 10
Father's age is 4 times the son's
-------------
In 3 yrs:
f = 45
s = 15
Father's age is 3 times the son's
OK