SOLUTION: ethan is now 5 times as old as raj. if the sum of their ages in 5 years times is x years, find the raj present age?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: ethan is now 5 times as old as raj. if the sum of their ages in 5 years times is x years, find the raj present age?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1130608: ethan is now 5 times as old as raj. if the sum of their ages in 5 years times is x years, find the raj present age?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The difference in their ages never changes
The sum does change
----------------------------
In 5 yrs time from now, 5 yrs gets added to
both of their ages, so 10 yrs gets added to the sum
----------------------------
+x+-+10+ is the sum of their ages now
Let Raj's age now = +y+
Ethan's age now is +5y+
-----------------------------
At present:
+y+%2B+5y+=+x+-+10+
+6y+=+x+-+10+
+y+=+%28+x+-+10+%29%2F6+
This is Raj's age now
------------------------------
check:
+%28+x+-+10+%29%2F6+%2B+5+%2B+%28+5%2A%28+x+-+10+%29%29%2F6+%2B+5+=+x+
+x+-+10+%2B+30+%2B+5x+-+50+%2B+30+=+6x+
++6x+=+6x+
OK