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Question

Sum of the present ages of Reshma and her mother is 60 years. Five years ago, her mother's age was 4 times the age of Reshma. Find their present ages.

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Solution

Let x be the present age of Reshma.
Given that the sum of the present ages of Reshma and her mother is 60 years.
Thus, Reshma's mother's present age is 60x
Five years ago, Reshma's age =x5
and her mother's age would be 60x5
Given than five years ago, her mother's age was 4 times age of Reshma.
Thus, we have
60x5=4(x5)
55x=4x20
55+20=4x+x
75=5x
x=755
x=15
Thus, the present age of Reshma is 15 years and her mother's is 6015=45 years.

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