SOLUTION: Hi, I need help with a math problem: The ratio between the ages of John and David is 6:5. In 7 years time the ratio between their ages will be 7:6. How old are they today?

Question 1005488: Hi,
I need help with a math problem:
The ratio between the ages of John and David is 6:5. In 7 years time the ratio between their ages will be 7:6. How old are they today?
Thanks for the help.
- E.S.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = John's age now
Let = David's age now
given:
(1)
(2)
-------------------------
Multiply both sides of (1) by
(1)
------------------
Multiply both sides of (2) by
(2)
(2)
-----------------------
Substitute (1) into (2)
(2)
(2)
Multiply both sides by
(2)
(2)
and
(1)
(1)
(1)
---------------
John is 42 and David is 35
---------------------
check:

OK
and

OK
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