SOLUTION: THIS YEAR MARY'S AGE IS ONE SIXTH OF HER MOTHER. NEXT YEAR MARY'S AGE IS ONE FIFTH OF HER MOTHER. IN HOW MANY YEARS WILL MARY'S AGR BE ONE THIRD OF HER MOTHER?
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Question 526691: THIS YEAR MARY'S AGE IS ONE SIXTH OF HER MOTHER. NEXT YEAR MARY'S AGE IS ONE FIFTH OF HER MOTHER. IN HOW MANY YEARS WILL MARY'S AGR BE ONE THIRD OF HER MOTHER?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Mary's age now
= Mary's age next year
Let = Mary's Mother's age now
= Mary's Mother's age next year
given:
(1)
(2)
----------------------
(1)
and
(2)
(2)
(2)
Substitute (1) into (2)
(2)
(2)
and
(1)
(1)
(1)
------------
Mary is 4 now, and her Mother is 24
Let = the number of years from now when
Mary's age will be 1/3 of her mother's
In 6 years, Mary's age will be 1/3 her Mother's
check answer:
In 6 years, Mary will be 10
In 6 years Mother will be 30
Mary will be 1/3 her Mother's age
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