SOLUTION: 3 years ago, Primo is ten times as old as Terzo. After 15 years, Primo is only five times as ols as Terzo. What are their present ages?

Question 330819: 3 years ago, Primo is ten times as old as Terzo. After 15 years, Primo is only five times as ols as Terzo. What are their present ages?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let p = P's present age
Let t = T's present age
:
Write an equation and simplify for each statement:
:
"3 years ago, Primo is ten times as old as Terzo."
p - 3 = 10(t-3)
p - 3 = 10t - 30
p = 10t - 30 + 3
p = 10t - 27
:
"After 15 years, Primo is only five times as old as Terzo."
p + 15 = 5(t + 15)
p + 15 = 5t + 75
p = 5t + 75 - 15
p = 5t + 60
:
What are their present ages?
Replace p with (10t-27) for p in the above equation
10t - 27 = 5t + 60
10t - 5t = 60 + 27
5t = 87
t =
t = 17.4 yrs, is T's present age
:
p = 5t + 60
p = 5(17.4) + 60
p = 87 + 60
p = 147 yrs is P's present age
:
Not very realistic, but there it is!

RELATED QUESTIONS
Cake is twice as ild as moja. Ten years ago, cake was 3 times as old as moja. What are... (answered by josmiceli)

A man is four times as ols as his son.in five years he will be three times as old. Find... (answered by algebrahouse.com)

a mother is 3 times as old as her son. 10 years ago she was five times as old as her... (answered by mando271)

A is twice as old as B; ten years ago he was four times as old.what are their present... (answered by richwmiller)

John is thrice as old as her daughter Alice. Ten years ago John was five times as old as... (answered by ankor@dixie-net.com)

ten years ago, jane was four times as old as maria now she is only twice as old as maria. (answered by josmiceli)

ten years ago jane wasfour times as old as mary. now jane is only twice as old as mary.... (answered by ewatrrr)

Ten years ago John was four times as old as bill. now he is only twice as old as bill.... (answered by solver91311)