SOLUTION: The sum of a man's age and his grandmother's age is 102. Eighteen years age his grandmother was 10 times as old as he was then. Find their present ages.
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Question 474228: The sum of a man's age and his grandmother's age is 102. Eighteen years age his grandmother was 10 times as old as he was then. Find their present ages.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Man's present age
Let = Grandmother's present age
= Man's age 18 years ago
= Gradmother's age 18 years ago
given:
(1)
(2)
------------------------
(2)
(2)
(2)
Add (2) to (1)
(2)
(1)
And, from (1),
The man is 24 and the Grandmother is 78
-------------
check:
(2)
(2)
(2)
OK
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