Question 604573: A says to B, "I am five times old as you were, when I was as old as you are". The sum of their present ages is 64 years. Find their ages.
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A says to B, "I am five times old as you were, when I was as old as you are".
The sum of their present ages is 64 years. Find their ages.
:
Let a = A's present age
Let b = B's present age
:
The sum of their present ages is 64 years."
a + b = 64
b = (64-a)
:
"A says to B, "I am five times old as you were, when I was as old as you are".
a = 5(b - (a-b))
a = 5(b - a + b)
a = 5(2b - a)
a = 10b - 5a
a + 5a = 10b
6a = 10b
replace b with (64-a)
6a = 10(64-a)
6a = 640 - 10a
6a + 10a = 640
16a = 640
a = 640/16
a = 40 yrs is A's present age
then
64-40 = 24 yrs is B's present age
:
:
Check this out: age difference 40 - 24 = 16 yrs
"I am five times old as you were, when I was as old as you are".
40 = 5(24-16)
40 = 5(8)
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