Difference between the ages of two sisters today is 4 years. Five years ago, ratio of their ages was \( 5: 7 \). Find the age of the younger sister.


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Let the age of the younger sister be x and elder sister be x + 4,
Age of younger sister 5 years ago = (x - 5)
Age of elder system 5 years ago = (x + 4) - 5 = x - 1
According to the question:-
x-5/ x - 1 = 5/7
7x- 35 = 5x - 5
2x = 30
x = 15.
Hence, age of younger sister is 15 years.

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