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?

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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)   (Show Source): You can put this solution on YOUR website!

let the father's age be and the son's age
father's age in years will be
the son's age years ago was
if the father's age in years will be the son's age years ago, we have
....solve for

........eq.1

and if the sum of their ages now is , then
...solve for
.........eq.2

from eq.1 and eq.2 we have
...solve for





........eq.1



the father is years old now
the son is years old now

Answer by MathTherapy(10552)   (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:  

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