SOLUTION: If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1151113: If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let the father's age be x and the son's age y
father's age in 3 years will be x%2B3
the son's age 4 years ago was y-4
if the father's age in 3 years will be twice the son's age 4 years ago, we have
x%2B3=2%28y-4%29....solve for x
x=2y-8-3
x=2y-11........eq.1

and if the sum of their ages now is 106, then
x%2By=106...solve for x
x=106-y.........eq.2

from eq.1 and eq.2 we have
2y-11=106-y...solve for y
2y%2By=106%2B11
3y=117
y=39


x=2%2A39-11........eq.1
x=67


the father is 67 years old now
the son is 39 years old now

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
Let father's age be F, ad son's, S
Then we get: F + 3 = 2(S - 4)_____F - 2S = - 11 ---- eq (i)
Also, F + S = 106____S = 106 - F ------ eq (ii)
F - 2(106 - F) = - 11 ----- Substituting 106 - F for S in eq (i)
F - 212 + 2F = - 11
3F = 201
F, or father is: highlight_green%28matrix%281%2C4%2C+201%2F3%2C+%22=%22%2C+67%2C+years-old%29%29