SOLUTION: Shobo's mother's present age is six times shobo's present age . Shobo's age five years from now will be one third of his mother's present age . What are their present age?

Algebra.Com
Question 1084648: Shobo's mother's present age is six times shobo's present age . Shobo's age five years from now will be one third of his mother's present age . What are their present age?

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
let s = Hobo's age
let m = mother's age
:
Write an equating for each statement
:
Shobo's mother's present age is six times shobo's present age .
m = 6s
Shobo's age five years from now will be one third of his mother's present age .
s + 5 = m
What are their present age?
In the 2nd equation replace m with 6s
s + 5 = (6s)
Cancel the 3 into the 6
s + 5 = 2s
5 = 2s - s
5 = s
S is 5 yrs old, then 6(5) = 30 is Mom's age
:
:
See if that checks out in the 2nd equation
5 + 5 = *30

RELATED QUESTIONS

The sum of Wilbur’s age and Fred’s age is 20 years. Wilbur’s age 1 year from now will be (answered by jojo14344)
At present Allen is 10 years younger than Scott five years from now Scott’s age will be (answered by greenestamps)
At present John’s age is 30% of his father’s age. Twenty years from now, John’s age will... (answered by josgarithmetic)
In four years Ben’s grandfather will be five times old as Ben last year.When Ben present... (answered by josgarithmetic,addingup)
16 years from now, Martha’s age will be twice her age 12 years ago. Find her present... (answered by Alan3354)
The sum of Victor’s and Ellen’s age is 40 years. Victor’s age 10 years from now will be 1 (answered by oberobic)
Five years ago, the age of Ann's mother was 7 times the age of Ann. Seven years from now, (answered by josgarithmetic)
Carla is three times as old as John. Four years from now, Carla’s age will be half that... (answered by Alex.33)
William says that 15 years from now, his age will be 3 times his age 5 years ago. If x... (answered by josgarithmetic)