SOLUTION: Lucas is 9 years older than three times his son's age. In 5 years, the age of Lucas will be 6 years more than twice his son's age. Find their present age.

Algebra.Com
Question 1110899: Lucas is 9 years older than three times his son's age. In 5 years, the age of Lucas will be 6 years more than twice his son's age. Find their present age.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
L, Lucas
c, Lucas'es son

This is the literal translation into equations:


Solve the system for L and c.
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
L = 9 + 3*S,             (1)

L + 5 = 6 + 2*(S+5).     (2)



Substitute (1) into (2).  You will get

9 + 3*S + 5 = 6 + 2S + 10,

S = 6 + 10 - 9 - 5 = 2.


Thus we found that the son is 2 years old.

Then Lucas (= the father of his son) is 9 + 3*2 = 9 + 6 = 15 years old.

--------------------
Do not ask me about the meaning of this problem.

I am not responsible for its meaning  (if the meaning does present here).

I am responsible for the correctness of the solution only.

It is the person who invented it is responsible for the meaning  (or for its absence).



RELATED QUESTIONS

Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic,MathTherapy)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic,ikleyn)
the present age of a father is three years more than three times the age of his son.... (answered by ankor@dixie-net.com)
A man is 24 years older than his son. In 2 years he will be twice the age of his son.... (answered by ramkikk66)
a father is 25 years older than his daughter. in three years the father's age will be 5... (answered by richwmiller)
Max is twice the age of his son, in 5 years time he will be 37 years older than his son... (answered by macston)
A man is 26 years older than his son. He is also 8 years older than three times his son’s (answered by ewatrrr)
the age of the father is three more than 3 times the age of his son. 3 years hence... (answered by tutor_paul,MathTherapy)