SOLUTION: The age of Sarah is 14 less than three times the age of Ruth. The square root of Sarah's present age increased by 1 is equal to the square root of Ruth's age fifteen years from now
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Question 936145: The age of Sarah is 14 less than three times the age of Ruth. The square root of Sarah's present age increased by 1 is equal to the square root of Ruth's age fifteen years from now. Find their present ages.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Sarah's age now
Let = Ruth's age now
--------------------------
(1)
(2)
---------------------------------
Square both sides of (2)
(2)
(2)
and, from (1):
(1)
---------------------
Add the equations
(2)
(1)
--------------------
and, since
(1)
(1)
(1)
---------------
Ruth is 14
Sarah is 28
-----------
check:
(2)
(2)
(2)
OK
(1)
(1)
(1)
(1)
OK
----------------------
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