SOLUTION: The sum of my age and my daughter's is 50 years. In 30 years, 3 times my age increased by my daughter's age will be equal to 242 years. How old are we today?

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Question 573418: The sum of my age and my daughter's is 50 years. In 30 years, 3 times my age increased by my daughter's age will be equal to 242 years. How old are we today?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Father's age now
Let = Daughter's age now
= father's age 30 yrs from now
= Daughter's age 30 yrs from now
----------
given:
(1)
(2)
------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
I am 36 and my Daughter is 14
check:
(2)
(2)
(2)
(2)
(2)
OK

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