SOLUTION: Given is one fourth as old as her mother. Six years ago, she was one tenth as old as her mother. Find the age of her mother.

Question 991835: Given is one fourth as old as her mother. Six years ago, she was one tenth as old as her mother. Find the age of her mother.
Answer by Shai(25) (Show Source): You can put this solution on YOUR website!
Given :
Let the mother's age be =x.
Given's current age = (1/4)*x.
Let Given's age be y
y = (1/4)*x...................................(eq 1)
Also given, 6 years back, Given's age was (1/10)th as old as her mother
y-6 = (1/10)(x-6)...............................(eq 2)
substituting for y in equation 2 from equation 1, we get
(1/4)*x - 6 = (1/10)(x-6)
Thus her mum's age is 36 years :)
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