SOLUTION: A says to be,"I am 5 times as old as you were, when i was as old as you are." if the sum of their present age is 64. Find their present ages.

Question 304911: A says to be,"I am 5 times as old as you were, when i was as old as you are." if the sum of their present age is 64. Find their present ages.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A says to be,"I am 5 times as old as you were, when i was as old as you are."
:
(a-b) = the difference between their ages
therefore
5(b - (a-b)) = a
Remove the inner bracket
5(b - a + b) = a
5(2b-a) = a
10b - 5a = a
10b = a + 5a
10b = 6a
b = a
b = .6a
:
if the sum of their present age is 64. Find their present ages.
a + b = 64
replace b with .6a
a + .6a = 64
1.6a = 64
a =
a = 40 yrs is a's age
then
.6(40) = 24 yrs is b's age
:
:
Check this in the statement:
"I am 5 times as old as you were, when i was as old as you are."
(Difference in their ages = 16 hrs)
5(24 - 16) = 40
5(8) = 40; confirms our solution
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