SOLUTION: A says to B “My present age is five times your that age when I was an old as you are now. It the sum of their present ages is 48 years, find their present ages.

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A says to B “My present age is five times your that age when I was an old as you are now. It the sum of their present ages is 48 years, find their present ages.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 966674: A says to B “My present age is five times your that age when I was an old as you are now. It the sum of their present ages is 48 years, find their present ages.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let A = my present age
let B = your present age
then
d = difference in the ages (A-B)
:
A says to B “My present age is five times your5( age when I was an old as you are now.
A = 5(B-d)
A = 5B - 5d
Replace d with (A-B)
A = 5B - 5(A-B)
A = 5B - 5A + 5B
A + 5A = 10B
6A = 10B
Simplify
3A = 5B
A = 5%2F3B
:
If the sum of their present ages is 48 years,
A + B = 48
Replace A with 5/3A
5%2F3B + B = 48
8%2F3B = 48
B = 3%2F8*48
B = 18 yrs is B's age
then
48 - 18 = 30 yrs is A's age
:
find their present ages. A is 30; B is 18