SOLUTION: Ian is 1/4 the age of his mother. In 5 years, his age will be 1/3 of his mother’s age. How old is Ian’s mother now?

Question 1147130: Ian is 1/4 the age of his mother. In 5 years, his age will be 1/3 of his mother’s age. How old is Ian’s mother now?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


If x is Ian age, them his mother age is 4x.


In 5 years, Ian will be x+5 years old; his mother will be 4x+5 years old.


The condition says


    3(x+5) = 4x + 5,


giving  x = 10.


ANSWER.  Ian's mother is 5*10 = 40 years old.

Solved.

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    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problems for mental solution
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The referred lessons are the part of this online textbook under the topic "Age word problems".

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Free of charge online textbook in ALGEBRA-I
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